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Finding the Fourth Proportional to 25,494.48, 38,248.47 and 8,854.47

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Solution

The fourth proportional to 25,494.48, 38,248.47 and 8,854.47 is: 13,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.48 : 38,248.47 = 8,854.47 : x
  2. Step 2: Convert to fraction form
    25,494.48/38,248.47 = 8,854.47/x
  3. Step 3: Cross multiply
    25,494.48x = 38,248.47 × 8,854.47
  4. Step 4: Simplify right side
    25,494.48x = 338,669,930.16
  5. Step 5: Solve for x
    x = 338,669,930.16/25,494.48
  6. Step 6: Final answer
    x = 13,284.05

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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.