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Finding the Fourth Proportional to 13,744.41, 20,605.07 and 9,572.10

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Solution

The fourth proportional to 13,744.41, 20,605.07 and 9,572.10 is: 14,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.41 : 20,605.07 = 9,572.10 : x
  2. Step 2: Convert to fraction form
    13,744.41/20,605.07 = 9,572.10/x
  3. Step 3: Cross multiply
    13,744.41x = 20,605.07 × 9,572.10
  4. Step 4: Simplify right side
    13,744.41x = 197,233,742.69
  5. Step 5: Solve for x
    x = 197,233,742.69/13,744.41
  6. Step 6: Final answer
    x = 14,350.11

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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.