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Finding the Fourth Proportional to 25,592.50, 38,384.97 and 8,066.62

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Solution

The fourth proportional to 25,592.50, 38,384.97 and 8,066.62 is: 12,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,592.50 : 38,384.97 = 8,066.62 : x
  2. Step 2: Convert to fraction form
    25,592.50/38,384.97 = 8,066.62/x
  3. Step 3: Cross multiply
    25,592.50x = 38,384.97 × 8,066.62
  4. Step 4: Simplify right side
    25,592.50x = 309,636,966.70
  5. Step 5: Solve for x
    x = 309,636,966.70/25,592.50
  6. Step 6: Final answer
    x = 12,098.74

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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.