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Finding the Fourth Proportional to 22,691.83, 31,310.10 and 13,258.57

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Solution

The fourth proportional to 22,691.83, 31,310.10 and 13,258.57 is: 18,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.83 : 31,310.10 = 13,258.57 : x
  2. Step 2: Convert to fraction form
    22,691.83/31,310.10 = 13,258.57/x
  3. Step 3: Cross multiply
    22,691.83x = 31,310.10 × 13,258.57
  4. Step 4: Simplify right side
    22,691.83x = 415,127,152.56
  5. Step 5: Solve for x
    x = 415,127,152.56/22,691.83
  6. Step 6: Final answer
    x = 18,294.12

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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.