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Finding the Fourth Proportional to 25,872.01, 38,811.08 and 9,234.41

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Solution

The fourth proportional to 25,872.01, 38,811.08 and 9,234.41 is: 13,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,872.01 : 38,811.08 = 9,234.41 : x
  2. Step 2: Convert to fraction form
    25,872.01/38,811.08 = 9,234.41/x
  3. Step 3: Cross multiply
    25,872.01x = 38,811.08 × 9,234.41
  4. Step 4: Simplify right side
    25,872.01x = 358,397,254.29
  5. Step 5: Solve for x
    x = 358,397,254.29/25,872.01
  6. Step 6: Final answer
    x = 13,852.70

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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.