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Finding the Fourth Proportional to 25,502.92, 38,254.38 and 7,972.84

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Solution

The fourth proportional to 25,502.92, 38,254.38 and 7,972.84 is: 11,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502.92 : 38,254.38 = 7,972.84 : x
  2. Step 2: Convert to fraction form
    25,502.92/38,254.38 = 7,972.84/x
  3. Step 3: Cross multiply
    25,502.92x = 38,254.38 × 7,972.84
  4. Step 4: Simplify right side
    25,502.92x = 304,996,051.04
  5. Step 5: Solve for x
    x = 304,996,051.04/25,502.92
  6. Step 6: Final answer
    x = 11,959.26

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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.