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Finding the Fourth Proportional to 22,478.27, 31,025.42 and 13,524.10

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Solution

The fourth proportional to 22,478.27, 31,025.42 and 13,524.10 is: 18,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.27 : 31,025.42 = 13,524.10 : x
  2. Step 2: Convert to fraction form
    22,478.27/31,025.42 = 13,524.10/x
  3. Step 3: Cross multiply
    22,478.27x = 31,025.42 × 13,524.10
  4. Step 4: Simplify right side
    22,478.27x = 419,590,882.62
  5. Step 5: Solve for x
    x = 419,590,882.62/22,478.27
  6. Step 6: Final answer
    x = 18,666.51

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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.