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Finding the Fourth Proportional to 25,470.65, 38,193.93 and 9,454.93

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Solution

The fourth proportional to 25,470.65, 38,193.93 and 9,454.93 is: 14,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.65 : 38,193.93 = 9,454.93 : x
  2. Step 2: Convert to fraction form
    25,470.65/38,193.93 = 9,454.93/x
  3. Step 3: Cross multiply
    25,470.65x = 38,193.93 × 9,454.93
  4. Step 4: Simplify right side
    25,470.65x = 361,120,839.09
  5. Step 5: Solve for x
    x = 361,120,839.09/25,470.65
  6. Step 6: Final answer
    x = 14,177.92

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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.