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Finding the Fourth Proportional to 15,613.16, 23,421.90 and 6,377

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Solution

The fourth proportional to 15,613.16, 23,421.90 and 6,377 is: 9,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.16 : 23,421.90 = 6,377 : x
  2. Step 2: Convert to fraction form
    15,613.16/23,421.90 = 6,377/x
  3. Step 3: Cross multiply
    15,613.16x = 23,421.90 × 6,377
  4. Step 4: Simplify right side
    15,613.16x = 149,361,456.30
  5. Step 5: Solve for x
    x = 149,361,456.30/15,613.16
  6. Step 6: Final answer
    x = 9,566.38

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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.