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Finding the Fourth Proportional to 25,600.47, 38,400.68 and 8,070.29

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Solution

The fourth proportional to 25,600.47, 38,400.68 and 8,070.29 is: 12,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.47 : 38,400.68 = 8,070.29 : x
  2. Step 2: Convert to fraction form
    25,600.47/38,400.68 = 8,070.29/x
  3. Step 3: Cross multiply
    25,600.47x = 38,400.68 × 8,070.29
  4. Step 4: Simplify right side
    25,600.47x = 309,904,623.80
  5. Step 5: Solve for x
    x = 309,904,623.80/25,600.47
  6. Step 6: Final answer
    x = 12,105.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.