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Finding the Fourth Proportional to 15,237.76, 22,847.42 and 9,966.41

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Solution

The fourth proportional to 15,237.76, 22,847.42 and 9,966.41 is: 14,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237.76 : 22,847.42 = 9,966.41 : x
  2. Step 2: Convert to fraction form
    15,237.76/22,847.42 = 9,966.41/x
  3. Step 3: Cross multiply
    15,237.76x = 22,847.42 × 9,966.41
  4. Step 4: Simplify right side
    15,237.76x = 227,706,755.16
  5. Step 5: Solve for x
    x = 227,706,755.16/15,237.76
  6. Step 6: Final answer
    x = 14,943.58

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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.