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Finding the Fourth Proportional to 16,642.58, 24,951.54 and 7,867.24

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Solution

The fourth proportional to 16,642.58, 24,951.54 and 7,867.24 is: 11,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.58 : 24,951.54 = 7,867.24 : x
  2. Step 2: Convert to fraction form
    16,642.58/24,951.54 = 7,867.24/x
  3. Step 3: Cross multiply
    16,642.58x = 24,951.54 × 7,867.24
  4. Step 4: Simplify right side
    16,642.58x = 196,299,753.55
  5. Step 5: Solve for x
    x = 196,299,753.55/16,642.58
  6. Step 6: Final answer
    x = 11,795.03

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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.