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Finding the Fourth Proportional to 23,349.38, 32,222.22 and 12,739.24

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Solution

The fourth proportional to 23,349.38, 32,222.22 and 12,739.24 is: 17,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349.38 : 32,222.22 = 12,739.24 : x
  2. Step 2: Convert to fraction form
    23,349.38/32,222.22 = 12,739.24/x
  3. Step 3: Cross multiply
    23,349.38x = 32,222.22 × 12,739.24
  4. Step 4: Simplify right side
    23,349.38x = 410,486,432.80
  5. Step 5: Solve for x
    x = 410,486,432.80/23,349.38
  6. Step 6: Final answer
    x = 17,580.19

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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.