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Finding the Fourth Proportional to 24,343, 33,593.28 and 13,165

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Solution

The fourth proportional to 24,343, 33,593.28 and 13,165 is: 18,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343 : 33,593.28 = 13,165 : x
  2. Step 2: Convert to fraction form
    24,343/33,593.28 = 13,165/x
  3. Step 3: Cross multiply
    24,343x = 33,593.28 × 13,165
  4. Step 4: Simplify right side
    24,343x = 442,255,531.20
  5. Step 5: Solve for x
    x = 442,255,531.20/24,343
  6. Step 6: Final answer
    x = 18,167.67

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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.