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Finding the Fourth Proportional to 19,890.50, 29,829.38 and 6,560.51

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Solution

The fourth proportional to 19,890.50, 29,829.38 and 6,560.51 is: 9,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,890.50 : 29,829.38 = 6,560.51 : x
  2. Step 2: Convert to fraction form
    19,890.50/29,829.38 = 6,560.51/x
  3. Step 3: Cross multiply
    19,890.50x = 29,829.38 × 6,560.51
  4. Step 4: Simplify right side
    19,890.50x = 195,695,813.04
  5. Step 5: Solve for x
    x = 195,695,813.04/19,890.50
  6. Step 6: Final answer
    x = 9,838.66

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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.