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Finding the Fourth Proportional to 28,178.80, 42,276.43 and 12,592.78

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Solution

The fourth proportional to 28,178.80, 42,276.43 and 12,592.78 is: 18,892.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.80 : 42,276.43 = 12,592.78 : x
  2. Step 2: Convert to fraction form
    28,178.80/42,276.43 = 12,592.78/x
  3. Step 3: Cross multiply
    28,178.80x = 42,276.43 × 12,592.78
  4. Step 4: Simplify right side
    28,178.80x = 532,377,645.00
  5. Step 5: Solve for x
    x = 532,377,645.00/28,178.80
  6. Step 6: Final answer
    x = 18,892.84

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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.