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Finding the Fourth Proportional to 16,212.49, 24,319.91 and 5,681.34

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Solution

The fourth proportional to 16,212.49, 24,319.91 and 5,681.34 is: 8,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.49 : 24,319.91 = 5,681.34 : x
  2. Step 2: Convert to fraction form
    16,212.49/24,319.91 = 5,681.34/x
  3. Step 3: Cross multiply
    16,212.49x = 24,319.91 × 5,681.34
  4. Step 4: Simplify right side
    16,212.49x = 138,169,691.68
  5. Step 5: Solve for x
    x = 138,169,691.68/16,212.49
  6. Step 6: Final answer
    x = 8,522.42

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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.