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Finding the Fourth Proportional to 25,957.83, 38,932.50 and 7,239.15

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Solution

The fourth proportional to 25,957.83, 38,932.50 and 7,239.15 is: 10,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,957.83 : 38,932.50 = 7,239.15 : x
  2. Step 2: Convert to fraction form
    25,957.83/38,932.50 = 7,239.15/x
  3. Step 3: Cross multiply
    25,957.83x = 38,932.50 × 7,239.15
  4. Step 4: Simplify right side
    25,957.83x = 281,838,207.38
  5. Step 5: Solve for x
    x = 281,838,207.38/25,957.83
  6. Step 6: Final answer
    x = 10,857.54

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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.