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Finding the Fourth Proportional to 16,540.64, 24,810.84 and 6,679.78

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Solution

The fourth proportional to 16,540.64, 24,810.84 and 6,679.78 is: 10,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.64 : 24,810.84 = 6,679.78 : x
  2. Step 2: Convert to fraction form
    16,540.64/24,810.84 = 6,679.78/x
  3. Step 3: Cross multiply
    16,540.64x = 24,810.84 × 6,679.78
  4. Step 4: Simplify right side
    16,540.64x = 165,730,952.82
  5. Step 5: Solve for x
    x = 165,730,952.82/16,540.64
  6. Step 6: Final answer
    x = 10,019.62

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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.