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Finding the Fourth Proportional to 23,613.72, 35,420.62 and 8,031

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Solution

The fourth proportional to 23,613.72, 35,420.62 and 8,031 is: 12,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613.72 : 35,420.62 = 8,031 : x
  2. Step 2: Convert to fraction form
    23,613.72/35,420.62 = 8,031/x
  3. Step 3: Cross multiply
    23,613.72x = 35,420.62 × 8,031
  4. Step 4: Simplify right side
    23,613.72x = 284,462,999.22
  5. Step 5: Solve for x
    x = 284,462,999.22/23,613.72
  6. Step 6: Final answer
    x = 12,046.51

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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.