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Finding the Fourth Proportional to 16,449.11, 24,659.82 and 6,583

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Solution

The fourth proportional to 16,449.11, 24,659.82 and 6,583 is: 9,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.11 : 24,659.82 = 6,583 : x
  2. Step 2: Convert to fraction form
    16,449.11/24,659.82 = 6,583/x
  3. Step 3: Cross multiply
    16,449.11x = 24,659.82 × 6,583
  4. Step 4: Simplify right side
    16,449.11x = 162,335,595.06
  5. Step 5: Solve for x
    x = 162,335,595.06/16,449.11
  6. Step 6: Final answer
    x = 9,868.96

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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.