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Finding the Fourth Proportional to 25,587, 38,377.17 and 8,056.98

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Solution

The fourth proportional to 25,587, 38,377.17 and 8,056.98 is: 12,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,587 : 38,377.17 = 8,056.98 : x
  2. Step 2: Convert to fraction form
    25,587/38,377.17 = 8,056.98/x
  3. Step 3: Cross multiply
    25,587x = 38,377.17 × 8,056.98
  4. Step 4: Simplify right side
    25,587x = 309,204,091.15
  5. Step 5: Solve for x
    x = 309,204,091.15/25,587
  6. Step 6: Final answer
    x = 12,084.42

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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.