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Finding the Fourth Proportional to 16,421.14, 24,654.52 and 11,411.71

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Solution

The fourth proportional to 16,421.14, 24,654.52 and 11,411.71 is: 17,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,421.14 : 24,654.52 = 11,411.71 : x
  2. Step 2: Convert to fraction form
    16,421.14/24,654.52 = 11,411.71/x
  3. Step 3: Cross multiply
    16,421.14x = 24,654.52 × 11,411.71
  4. Step 4: Simplify right side
    16,421.14x = 281,350,232.43
  5. Step 5: Solve for x
    x = 281,350,232.43/16,421.14
  6. Step 6: Final answer
    x = 17,133.42

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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.