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Finding the Fourth Proportional to 16,266.76, 24,383.68 and 6,402.18

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Solution

The fourth proportional to 16,266.76, 24,383.68 and 6,402.18 is: 9,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.76 : 24,383.68 = 6,402.18 : x
  2. Step 2: Convert to fraction form
    16,266.76/24,383.68 = 6,402.18/x
  3. Step 3: Cross multiply
    16,266.76x = 24,383.68 × 6,402.18
  4. Step 4: Simplify right side
    16,266.76x = 156,108,708.42
  5. Step 5: Solve for x
    x = 156,108,708.42/16,266.76
  6. Step 6: Final answer
    x = 9,596.79

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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.