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Finding the Fourth Proportional to 25,902.75, 38,860.65 and 7,434.75

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Solution

The fourth proportional to 25,902.75, 38,860.65 and 7,434.75 is: 11,154.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.75 : 38,860.65 = 7,434.75 : x
  2. Step 2: Convert to fraction form
    25,902.75/38,860.65 = 7,434.75/x
  3. Step 3: Cross multiply
    25,902.75x = 38,860.65 × 7,434.75
  4. Step 4: Simplify right side
    25,902.75x = 288,919,217.59
  5. Step 5: Solve for x
    x = 288,919,217.59/25,902.75
  6. Step 6: Final answer
    x = 11,154.00

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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.