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Finding the Fourth Proportional to 16,215.60, 22,374.72 and 9,142.32

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Solution

The fourth proportional to 16,215.60, 22,374.72 and 9,142.32 is: 12,614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.60 : 22,374.72 = 9,142.32 : x
  2. Step 2: Convert to fraction form
    16,215.60/22,374.72 = 9,142.32/x
  3. Step 3: Cross multiply
    16,215.60x = 22,374.72 × 9,142.32
  4. Step 4: Simplify right side
    16,215.60x = 204,556,850.15
  5. Step 5: Solve for x
    x = 204,556,850.15/16,215.60
  6. Step 6: Final answer
    x = 12,614.82

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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.