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Finding the Fourth Proportional to 14,752.62, 22,132.17 and 8,188.38

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Solution

The fourth proportional to 14,752.62, 22,132.17 and 8,188.38 is: 12,284.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,752.62 : 22,132.17 = 8,188.38 : x
  2. Step 2: Convert to fraction form
    14,752.62/22,132.17 = 8,188.38/x
  3. Step 3: Cross multiply
    14,752.62x = 22,132.17 × 8,188.38
  4. Step 4: Simplify right side
    14,752.62x = 181,226,618.18
  5. Step 5: Solve for x
    x = 181,226,618.18/14,752.62
  6. Step 6: Final answer
    x = 12,284.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.