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Finding the Fourth Proportional to 16,202.16, 24,294.60 and 14,332.68

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Solution

The fourth proportional to 16,202.16, 24,294.60 and 14,332.68 is: 21,491.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.16 : 24,294.60 = 14,332.68 : x
  2. Step 2: Convert to fraction form
    16,202.16/24,294.60 = 14,332.68/x
  3. Step 3: Cross multiply
    16,202.16x = 24,294.60 × 14,332.68
  4. Step 4: Simplify right side
    16,202.16x = 348,206,727.53
  5. Step 5: Solve for x
    x = 348,206,727.53/16,202.16
  6. Step 6: Final answer
    x = 21,491.38

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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.