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Finding the Fourth Proportional to 23,713.38, 32,724 and 13,102.92

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Solution

The fourth proportional to 23,713.38, 32,724 and 13,102.92 is: 18,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.38 : 32,724 = 13,102.92 : x
  2. Step 2: Convert to fraction form
    23,713.38/32,724 = 13,102.92/x
  3. Step 3: Cross multiply
    23,713.38x = 32,724 × 13,102.92
  4. Step 4: Simplify right side
    23,713.38x = 428,779,954.08
  5. Step 5: Solve for x
    x = 428,779,954.08/23,713.38
  6. Step 6: Final answer
    x = 18,081.77

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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.