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Finding the Fourth Proportional to 25,750.80, 38,618.76 and 11,703

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Solution

The fourth proportional to 25,750.80, 38,618.76 and 11,703 is: 17,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750.80 : 38,618.76 = 11,703 : x
  2. Step 2: Convert to fraction form
    25,750.80/38,618.76 = 11,703/x
  3. Step 3: Cross multiply
    25,750.80x = 38,618.76 × 11,703
  4. Step 4: Simplify right side
    25,750.80x = 451,955,348.28
  5. Step 5: Solve for x
    x = 451,955,348.28/25,750.80
  6. Step 6: Final answer
    x = 17,551.12

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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.