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Finding the Fourth Proportional to 16,633.20, 24,952.68 and 6,777.84

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Solution

The fourth proportional to 16,633.20, 24,952.68 and 6,777.84 is: 10,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633.20 : 24,952.68 = 6,777.84 : x
  2. Step 2: Convert to fraction form
    16,633.20/24,952.68 = 6,777.84/x
  3. Step 3: Cross multiply
    16,633.20x = 24,952.68 × 6,777.84
  4. Step 4: Simplify right side
    16,633.20x = 169,125,272.61
  5. Step 5: Solve for x
    x = 169,125,272.61/16,633.20
  6. Step 6: Final answer
    x = 10,167.93

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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.