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Finding the Fourth Proportional to 38,601.80, 57,924.30 and 16,411.40

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Solution

The fourth proportional to 38,601.80, 57,924.30 and 16,411.40 is: 24,626.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,601.80 : 57,924.30 = 16,411.40 : x
  2. Step 2: Convert to fraction form
    38,601.80/57,924.30 = 16,411.40/x
  3. Step 3: Cross multiply
    38,601.80x = 57,924.30 × 16,411.40
  4. Step 4: Simplify right side
    38,601.80x = 950,618,857.02
  5. Step 5: Solve for x
    x = 950,618,857.02/38,601.80
  6. Step 6: Final answer
    x = 24,626.28

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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.