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Finding the Fourth Proportional to 16,155.88, 24,240.90 and 7,842.28

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Solution

The fourth proportional to 16,155.88, 24,240.90 and 7,842.28 is: 11,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.88 : 24,240.90 = 7,842.28 : x
  2. Step 2: Convert to fraction form
    16,155.88/24,240.90 = 7,842.28/x
  3. Step 3: Cross multiply
    16,155.88x = 24,240.90 × 7,842.28
  4. Step 4: Simplify right side
    16,155.88x = 190,103,925.25
  5. Step 5: Solve for x
    x = 190,103,925.25/16,155.88
  6. Step 6: Final answer
    x = 11,766.86

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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.