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Finding the Fourth Proportional to 16,342.62, 22,557.57 and 10,678.20

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Solution

The fourth proportional to 16,342.62, 22,557.57 and 10,678.20 is: 14,739.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.62 : 22,557.57 = 10,678.20 : x
  2. Step 2: Convert to fraction form
    16,342.62/22,557.57 = 10,678.20/x
  3. Step 3: Cross multiply
    16,342.62x = 22,557.57 × 10,678.20
  4. Step 4: Simplify right side
    16,342.62x = 240,874,243.97
  5. Step 5: Solve for x
    x = 240,874,243.97/16,342.62
  6. Step 6: Final answer
    x = 14,739.02

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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.