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Finding the Fourth Proportional to 38,436.80, 57,623.20 and 16,267.20

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Solution

The fourth proportional to 38,436.80, 57,623.20 and 16,267.20 is: 24,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436.80 : 57,623.20 = 16,267.20 : x
  2. Step 2: Convert to fraction form
    38,436.80/57,623.20 = 16,267.20/x
  3. Step 3: Cross multiply
    38,436.80x = 57,623.20 × 16,267.20
  4. Step 4: Simplify right side
    38,436.80x = 937,368,119.04
  5. Step 5: Solve for x
    x = 937,368,119.04/38,436.80
  6. Step 6: Final answer
    x = 24,387.26

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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.