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Finding the Fourth Proportional to 16,314.08, 22,512.96 and 9,241.12

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Solution

The fourth proportional to 16,314.08, 22,512.96 and 9,241.12 is: 12,752.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.08 : 22,512.96 = 9,241.12 : x
  2. Step 2: Convert to fraction form
    16,314.08/22,512.96 = 9,241.12/x
  3. Step 3: Cross multiply
    16,314.08x = 22,512.96 × 9,241.12
  4. Step 4: Simplify right side
    16,314.08x = 208,044,964.92
  5. Step 5: Solve for x
    x = 208,044,964.92/16,314.08
  6. Step 6: Final answer
    x = 12,752.48

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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.