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Finding the Fourth Proportional to 23,449.38, 32,360.96 and 12,839.10

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Solution

The fourth proportional to 23,449.38, 32,360.96 and 12,839.10 is: 17,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449.38 : 32,360.96 = 12,839.10 : x
  2. Step 2: Convert to fraction form
    23,449.38/32,360.96 = 12,839.10/x
  3. Step 3: Cross multiply
    23,449.38x = 32,360.96 × 12,839.10
  4. Step 4: Simplify right side
    23,449.38x = 415,485,601.54
  5. Step 5: Solve for x
    x = 415,485,601.54/23,449.38
  6. Step 6: Final answer
    x = 17,718.40

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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.