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Finding the Fourth Proportional to 19,847.16, 29,785.32 and 9,976.50

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Solution

The fourth proportional to 19,847.16, 29,785.32 and 9,976.50 is: 14,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,847.16 : 29,785.32 = 9,976.50 : x
  2. Step 2: Convert to fraction form
    19,847.16/29,785.32 = 9,976.50/x
  3. Step 3: Cross multiply
    19,847.16x = 29,785.32 × 9,976.50
  4. Step 4: Simplify right side
    19,847.16x = 297,153,244.98
  5. Step 5: Solve for x
    x = 297,153,244.98/19,847.16
  6. Step 6: Final answer
    x = 14,972.08

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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.