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Finding the Fourth Proportional to 16,002.68, 23,998.62 and 5,613.08

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Solution

The fourth proportional to 16,002.68, 23,998.62 and 5,613.08 is: 8,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.68 : 23,998.62 = 5,613.08 : x
  2. Step 2: Convert to fraction form
    16,002.68/23,998.62 = 5,613.08/x
  3. Step 3: Cross multiply
    16,002.68x = 23,998.62 × 5,613.08
  4. Step 4: Simplify right side
    16,002.68x = 134,706,173.95
  5. Step 5: Solve for x
    x = 134,706,173.95/16,002.68
  6. Step 6: Final answer
    x = 8,417.73

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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.