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Finding the Fourth Proportional to 17,280.80, 25,924.86 and 9,787.88

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Solution

The fourth proportional to 17,280.80, 25,924.86 and 9,787.88 is: 14,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280.80 : 25,924.86 = 9,787.88 : x
  2. Step 2: Convert to fraction form
    17,280.80/25,924.86 = 9,787.88/x
  3. Step 3: Cross multiply
    17,280.80x = 25,924.86 × 9,787.88
  4. Step 4: Simplify right side
    17,280.80x = 253,749,418.70
  5. Step 5: Solve for x
    x = 253,749,418.70/17,280.80
  6. Step 6: Final answer
    x = 14,683.89

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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.