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Finding the Fourth Proportional to 23,618.71, 32,607.38 and 15,671.71

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Solution

The fourth proportional to 23,618.71, 32,607.38 and 15,671.71 is: 21,635.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,618.71 : 32,607.38 = 15,671.71 : x
  2. Step 2: Convert to fraction form
    23,618.71/32,607.38 = 15,671.71/x
  3. Step 3: Cross multiply
    23,618.71x = 32,607.38 × 15,671.71
  4. Step 4: Simplify right side
    23,618.71x = 511,013,324.86
  5. Step 5: Solve for x
    x = 511,013,324.86/23,618.71
  6. Step 6: Final answer
    x = 21,635.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.