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Finding the Fourth Proportional to 19,792,827.40, 29,685,093.90 and 9,702,689.80

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Solution

The fourth proportional to 19,792,827.40, 29,685,093.90 and 9,702,689.80 is: 14,552,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792,827.40 : 29,685,093.90 = 9,702,689.80 : x
  2. Step 2: Convert to fraction form
    19,792,827.40/29,685,093.90 = 9,702,689.80/x
  3. Step 3: Cross multiply
    19,792,827.40x = 29,685,093.90 × 9,702,689.80
  4. Step 4: Simplify right side
    19,792,827.40x = 288,025,257,795,572.25
  5. Step 5: Solve for x
    x = 288,025,257,795,572.25/19,792,827.40
  6. Step 6: Final answer
    x = 14,552,001.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.