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Finding the Fourth Proportional to 10,237.16, 15,324.97 and 9,167.80

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Solution

The fourth proportional to 10,237.16, 15,324.97 and 9,167.80 is: 13,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.16 : 15,324.97 = 9,167.80 : x
  2. Step 2: Convert to fraction form
    10,237.16/15,324.97 = 9,167.80/x
  3. Step 3: Cross multiply
    10,237.16x = 15,324.97 × 9,167.80
  4. Step 4: Simplify right side
    10,237.16x = 140,496,259.97
  5. Step 5: Solve for x
    x = 140,496,259.97/10,237.16
  6. Step 6: Final answer
    x = 13,724.15

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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.