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Finding the Fourth Proportional to 23,713.74, 32,724.74 and 13,103.38

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Solution

The fourth proportional to 23,713.74, 32,724.74 and 13,103.38 is: 18,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.74 : 32,724.74 = 13,103.38 : x
  2. Step 2: Convert to fraction form
    23,713.74/32,724.74 = 13,103.38/x
  3. Step 3: Cross multiply
    23,713.74x = 32,724.74 × 13,103.38
  4. Step 4: Simplify right side
    23,713.74x = 428,804,703.62
  5. Step 5: Solve for x
    x = 428,804,703.62/23,713.74
  6. Step 6: Final answer
    x = 18,082.54

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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.