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Finding the Fourth Proportional to 22,511.76, 31,066.24 and 13,080.92

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Solution

The fourth proportional to 22,511.76, 31,066.24 and 13,080.92 is: 18,051.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.76 : 31,066.24 = 13,080.92 : x
  2. Step 2: Convert to fraction form
    22,511.76/31,066.24 = 13,080.92/x
  3. Step 3: Cross multiply
    22,511.76x = 31,066.24 × 13,080.92
  4. Step 4: Simplify right side
    22,511.76x = 406,375,000.14
  5. Step 5: Solve for x
    x = 406,375,000.14/22,511.76
  6. Step 6: Final answer
    x = 18,051.68

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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.