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Finding the Fourth Proportional to 16,215.18, 22,375.35 and 9,142.80

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Solution

The fourth proportional to 16,215.18, 22,375.35 and 9,142.80 is: 12,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.18 : 22,375.35 = 9,142.80 : x
  2. Step 2: Convert to fraction form
    16,215.18/22,375.35 = 9,142.80/x
  3. Step 3: Cross multiply
    16,215.18x = 22,375.35 × 9,142.80
  4. Step 4: Simplify right side
    16,215.18x = 204,573,349.98
  5. Step 5: Solve for x
    x = 204,573,349.98/16,215.18
  6. Step 6: Final answer
    x = 12,616.16

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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.