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Finding the Fourth Proportional to 25,957.14, 38,941.19 and 8,425.61

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Solution

The fourth proportional to 25,957.14, 38,941.19 and 8,425.61 is: 12,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,957.14 : 38,941.19 = 8,425.61 : x
  2. Step 2: Convert to fraction form
    25,957.14/38,941.19 = 8,425.61/x
  3. Step 3: Cross multiply
    25,957.14x = 38,941.19 × 8,425.61
  4. Step 4: Simplify right side
    25,957.14x = 328,103,043.04
  5. Step 5: Solve for x
    x = 328,103,043.04/25,957.14
  6. Step 6: Final answer
    x = 12,640.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.