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Finding the Fourth Proportional to 25,371.44, 38,061.95 and 7,837.17

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Solution

The fourth proportional to 25,371.44, 38,061.95 and 7,837.17 is: 11,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,371.44 : 38,061.95 = 7,837.17 : x
  2. Step 2: Convert to fraction form
    25,371.44/38,061.95 = 7,837.17/x
  3. Step 3: Cross multiply
    25,371.44x = 38,061.95 × 7,837.17
  4. Step 4: Simplify right side
    25,371.44x = 298,298,048.95
  5. Step 5: Solve for x
    x = 298,298,048.95/25,371.44
  6. Step 6: Final answer
    x = 11,757.24

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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.