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Finding the Fourth Proportional to 13,510.29, 20,249.02 and 9,562.71

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Solution

The fourth proportional to 13,510.29, 20,249.02 and 9,562.71 is: 14,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.29 : 20,249.02 = 9,562.71 : x
  2. Step 2: Convert to fraction form
    13,510.29/20,249.02 = 9,562.71/x
  3. Step 3: Cross multiply
    13,510.29x = 20,249.02 × 9,562.71
  4. Step 4: Simplify right side
    13,510.29x = 193,635,506.04
  5. Step 5: Solve for x
    x = 193,635,506.04/13,510.29
  6. Step 6: Final answer
    x = 14,332.45

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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.