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Finding the Fourth Proportional to 25,339.16, 38,008.75 and 6,871.16

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Solution

The fourth proportional to 25,339.16, 38,008.75 and 6,871.16 is: 10,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,339.16 : 38,008.75 = 6,871.16 : x
  2. Step 2: Convert to fraction form
    25,339.16/38,008.75 = 6,871.16/x
  3. Step 3: Cross multiply
    25,339.16x = 38,008.75 × 6,871.16
  4. Step 4: Simplify right side
    25,339.16x = 261,164,012.61
  5. Step 5: Solve for x
    x = 261,164,012.61/25,339.16
  6. Step 6: Final answer
    x = 10,306.74

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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.