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Finding the Fourth Proportional to 38,592.80, 57,892.40 and 12,296.80

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Solution

The fourth proportional to 38,592.80, 57,892.40 and 12,296.80 is: 18,446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,592.80 : 57,892.40 = 12,296.80 : x
  2. Step 2: Convert to fraction form
    38,592.80/57,892.40 = 12,296.80/x
  3. Step 3: Cross multiply
    38,592.80x = 57,892.40 × 12,296.80
  4. Step 4: Simplify right side
    38,592.80x = 711,891,264.32
  5. Step 5: Solve for x
    x = 711,891,264.32/38,592.80
  6. Step 6: Final answer
    x = 18,446.22

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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.