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Finding the Fourth Proportional to 23,523.38, 32,461.16 and 12,913.20

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Solution

The fourth proportional to 23,523.38, 32,461.16 and 12,913.20 is: 17,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.38 : 32,461.16 = 12,913.20 : x
  2. Step 2: Convert to fraction form
    23,523.38/32,461.16 = 12,913.20/x
  3. Step 3: Cross multiply
    23,523.38x = 32,461.16 × 12,913.20
  4. Step 4: Simplify right side
    23,523.38x = 419,177,451.31
  5. Step 5: Solve for x
    x = 419,177,451.31/23,523.38
  6. Step 6: Final answer
    x = 17,819.61

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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.