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Finding the Fourth Proportional to 23,143.30, 34,715.08 and 5,613.14

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Solution

The fourth proportional to 23,143.30, 34,715.08 and 5,613.14 is: 8,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.30 : 34,715.08 = 5,613.14 : x
  2. Step 2: Convert to fraction form
    23,143.30/34,715.08 = 5,613.14/x
  3. Step 3: Cross multiply
    23,143.30x = 34,715.08 × 5,613.14
  4. Step 4: Simplify right side
    23,143.30x = 194,860,604.15
  5. Step 5: Solve for x
    x = 194,860,604.15/23,143.30
  6. Step 6: Final answer
    x = 8,419.74

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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.