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Finding the Fourth Proportional to 23,342, 32,213.24 and 13,406.64

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Solution

The fourth proportional to 23,342, 32,213.24 and 13,406.64 is: 18,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342 : 32,213.24 = 13,406.64 : x
  2. Step 2: Convert to fraction form
    23,342/32,213.24 = 13,406.64/x
  3. Step 3: Cross multiply
    23,342x = 32,213.24 × 13,406.64
  4. Step 4: Simplify right side
    23,342x = 431,871,311.91
  5. Step 5: Solve for x
    x = 431,871,311.91/23,342
  6. Step 6: Final answer
    x = 18,501.90

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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.