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Finding the Fourth Proportional to 25,961.73, 38,959.16 and 9,321.42

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Solution

The fourth proportional to 25,961.73, 38,959.16 and 9,321.42 is: 13,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,961.73 : 38,959.16 = 9,321.42 : x
  2. Step 2: Convert to fraction form
    25,961.73/38,959.16 = 9,321.42/x
  3. Step 3: Cross multiply
    25,961.73x = 38,959.16 × 9,321.42
  4. Step 4: Simplify right side
    25,961.73x = 363,154,646.60
  5. Step 5: Solve for x
    x = 363,154,646.60/25,961.73
  6. Step 6: Final answer
    x = 13,988.08

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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.