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Finding the Fourth Proportional to 23,415.92, 32,314 and 13,343.92

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Solution

The fourth proportional to 23,415.92, 32,314 and 13,343.92 is: 18,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.92 : 32,314 = 13,343.92 : x
  2. Step 2: Convert to fraction form
    23,415.92/32,314 = 13,343.92/x
  3. Step 3: Cross multiply
    23,415.92x = 32,314 × 13,343.92
  4. Step 4: Simplify right side
    23,415.92x = 431,195,430.88
  5. Step 5: Solve for x
    x = 431,195,430.88/23,415.92
  6. Step 6: Final answer
    x = 18,414.63

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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.