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Finding the Fourth Proportional to 20,833.50, 31,250.68 and 9,737.21

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Solution

The fourth proportional to 20,833.50, 31,250.68 and 9,737.21 is: 14,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.50 : 31,250.68 = 9,737.21 : x
  2. Step 2: Convert to fraction form
    20,833.50/31,250.68 = 9,737.21/x
  3. Step 3: Cross multiply
    20,833.50x = 31,250.68 × 9,737.21
  4. Step 4: Simplify right side
    20,833.50x = 304,294,487.59
  5. Step 5: Solve for x
    x = 304,294,487.59/20,833.50
  6. Step 6: Final answer
    x = 14,606.02

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