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Finding the Fourth Proportional to 16,787.68, 25,182.36 and 6,400.24

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Solution

The fourth proportional to 16,787.68, 25,182.36 and 6,400.24 is: 9,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,787.68 : 25,182.36 = 6,400.24 : x
  2. Step 2: Convert to fraction form
    16,787.68/25,182.36 = 6,400.24/x
  3. Step 3: Cross multiply
    16,787.68x = 25,182.36 × 6,400.24
  4. Step 4: Simplify right side
    16,787.68x = 161,173,147.77
  5. Step 5: Solve for x
    x = 161,173,147.77/16,787.68
  6. Step 6: Final answer
    x = 9,600.68

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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.