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Finding the Fourth Proportional to 22,523.64, 31,082.46 and 12,452.52

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Solution

The fourth proportional to 22,523.64, 31,082.46 and 12,452.52 is: 17,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.64 : 31,082.46 = 12,452.52 : x
  2. Step 2: Convert to fraction form
    22,523.64/31,082.46 = 12,452.52/x
  3. Step 3: Cross multiply
    22,523.64x = 31,082.46 × 12,452.52
  4. Step 4: Simplify right side
    22,523.64x = 387,054,954.80
  5. Step 5: Solve for x
    x = 387,054,954.80/22,523.64
  6. Step 6: Final answer
    x = 17,184.39

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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.