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Finding the Fourth Proportional to 17,281.90, 25,902.51 and 9,891.46

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Solution

The fourth proportional to 17,281.90, 25,902.51 and 9,891.46 is: 14,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.90 : 25,902.51 = 9,891.46 : x
  2. Step 2: Convert to fraction form
    17,281.90/25,902.51 = 9,891.46/x
  3. Step 3: Cross multiply
    17,281.90x = 25,902.51 × 9,891.46
  4. Step 4: Simplify right side
    17,281.90x = 256,213,641.56
  5. Step 5: Solve for x
    x = 256,213,641.56/17,281.90
  6. Step 6: Final answer
    x = 14,825.55

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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.