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Finding the Fourth Proportional to 22,793.68, 31,442.13 and 13,712.74

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Solution

The fourth proportional to 22,793.68, 31,442.13 and 13,712.74 is: 18,915.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,793.68 : 31,442.13 = 13,712.74 : x
  2. Step 2: Convert to fraction form
    22,793.68/31,442.13 = 13,712.74/x
  3. Step 3: Cross multiply
    22,793.68x = 31,442.13 × 13,712.74
  4. Step 4: Simplify right side
    22,793.68x = 431,157,675.13
  5. Step 5: Solve for x
    x = 431,157,675.13/22,793.68
  6. Step 6: Final answer
    x = 18,915.67

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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.