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Finding the Fourth Proportional to 22,539.10, 31,105.90 and 13,107

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Solution

The fourth proportional to 22,539.10, 31,105.90 and 13,107 is: 18,088.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,539.10 : 31,105.90 = 13,107 : x
  2. Step 2: Convert to fraction form
    22,539.10/31,105.90 = 13,107/x
  3. Step 3: Cross multiply
    22,539.10x = 31,105.90 × 13,107
  4. Step 4: Simplify right side
    22,539.10x = 407,705,031.30
  5. Step 5: Solve for x
    x = 407,705,031.30/22,539.10
  6. Step 6: Final answer
    x = 18,088.79

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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.