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Finding the Fourth Proportional to 20,113.38, 27,752 and 11,613.66

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Solution

The fourth proportional to 20,113.38, 27,752 and 11,613.66 is: 16,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.38 : 27,752 = 11,613.66 : x
  2. Step 2: Convert to fraction form
    20,113.38/27,752 = 11,613.66/x
  3. Step 3: Cross multiply
    20,113.38x = 27,752 × 11,613.66
  4. Step 4: Simplify right side
    20,113.38x = 322,302,292.32
  5. Step 5: Solve for x
    x = 322,302,292.32/20,113.38
  6. Step 6: Final answer
    x = 16,024.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.