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Finding the Fourth Proportional to 23,143.29, 34,714.93 and 5,613.11

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Solution

The fourth proportional to 23,143.29, 34,714.93 and 5,613.11 is: 8,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.29 : 34,714.93 = 5,613.11 : x
  2. Step 2: Convert to fraction form
    23,143.29/34,714.93 = 5,613.11/x
  3. Step 3: Cross multiply
    23,143.29x = 34,714.93 × 5,613.11
  4. Step 4: Simplify right side
    23,143.29x = 194,858,720.73
  5. Step 5: Solve for x
    x = 194,858,720.73/23,143.29
  6. Step 6: Final answer
    x = 8,419.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.