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Finding the Fourth Proportional to 16,342.71, 24,514.08 and 11,421.96

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Solution

The fourth proportional to 16,342.71, 24,514.08 and 11,421.96 is: 17,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.71 : 24,514.08 = 11,421.96 : x
  2. Step 2: Convert to fraction form
    16,342.71/24,514.08 = 11,421.96/x
  3. Step 3: Cross multiply
    16,342.71x = 24,514.08 × 11,421.96
  4. Step 4: Simplify right side
    16,342.71x = 279,998,841.20
  5. Step 5: Solve for x
    x = 279,998,841.20/16,342.71
  6. Step 6: Final answer
    x = 17,132.95

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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.