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Finding the Fourth Proportional to 25,295.43, 37,934.24 and 8,423.86

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Solution

The fourth proportional to 25,295.43, 37,934.24 and 8,423.86 is: 12,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.43 : 37,934.24 = 8,423.86 : x
  2. Step 2: Convert to fraction form
    25,295.43/37,934.24 = 8,423.86/x
  3. Step 3: Cross multiply
    25,295.43x = 37,934.24 × 8,423.86
  4. Step 4: Simplify right side
    25,295.43x = 319,552,726.97
  5. Step 5: Solve for x
    x = 319,552,726.97/25,295.43
  6. Step 6: Final answer
    x = 12,632.82

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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.