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Finding the Fourth Proportional to 25,930.74, 35,785.15 and 15,859

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Solution

The fourth proportional to 25,930.74, 35,785.15 and 15,859 is: 21,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930.74 : 35,785.15 = 15,859 : x
  2. Step 2: Convert to fraction form
    25,930.74/35,785.15 = 15,859/x
  3. Step 3: Cross multiply
    25,930.74x = 35,785.15 × 15,859
  4. Step 4: Simplify right side
    25,930.74x = 567,516,693.85
  5. Step 5: Solve for x
    x = 567,516,693.85/25,930.74
  6. Step 6: Final answer
    x = 21,885.87

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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.