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Finding the Fourth Proportional to 16,129.61, 22,265.91 and 9,412.68

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Solution

The fourth proportional to 16,129.61, 22,265.91 and 9,412.68 is: 12,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,129.61 : 22,265.91 = 9,412.68 : x
  2. Step 2: Convert to fraction form
    16,129.61/22,265.91 = 9,412.68/x
  3. Step 3: Cross multiply
    16,129.61x = 22,265.91 × 9,412.68
  4. Step 4: Simplify right side
    16,129.61x = 209,581,885.74
  5. Step 5: Solve for x
    x = 209,581,885.74/16,129.61
  6. Step 6: Final answer
    x = 12,993.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.