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Finding the Fourth Proportional to 16,853.20, 25,277.40 and 5,760.40

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Solution

The fourth proportional to 16,853.20, 25,277.40 and 5,760.40 is: 8,639.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.20 : 25,277.40 = 5,760.40 : x
  2. Step 2: Convert to fraction form
    16,853.20/25,277.40 = 5,760.40/x
  3. Step 3: Cross multiply
    16,853.20x = 25,277.40 × 5,760.40
  4. Step 4: Simplify right side
    16,853.20x = 145,607,934.96
  5. Step 5: Solve for x
    x = 145,607,934.96/16,853.20
  6. Step 6: Final answer
    x = 8,639.78

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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.