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Finding the Fourth Proportional to 25,156, 34,694.68 and 15,589.24

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Solution

The fourth proportional to 25,156, 34,694.68 and 15,589.24 is: 21,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,156 : 34,694.68 = 15,589.24 : x
  2. Step 2: Convert to fraction form
    25,156/34,694.68 = 15,589.24/x
  3. Step 3: Cross multiply
    25,156x = 34,694.68 × 15,589.24
  4. Step 4: Simplify right side
    25,156x = 540,863,693.24
  5. Step 5: Solve for x
    x = 540,863,693.24/25,156
  6. Step 6: Final answer
    x = 21,500.39

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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.