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Finding the Fourth Proportional to 25,877.73, 38,824.80 and 9,237.41

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Solution

The fourth proportional to 25,877.73, 38,824.80 and 9,237.41 is: 13,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,877.73 : 38,824.80 = 9,237.41 : x
  2. Step 2: Convert to fraction form
    25,877.73/38,824.80 = 9,237.41/x
  3. Step 3: Cross multiply
    25,877.73x = 38,824.80 × 9,237.41
  4. Step 4: Simplify right side
    25,877.73x = 358,640,401.64
  5. Step 5: Solve for x
    x = 358,640,401.64/25,877.73
  6. Step 6: Final answer
    x = 13,859.04

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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.