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Finding the Fourth Proportional to 23,558, 35,337.08 and 7,142

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Solution

The fourth proportional to 23,558, 35,337.08 and 7,142 is: 10,713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,558 : 35,337.08 = 7,142 : x
  2. Step 2: Convert to fraction form
    23,558/35,337.08 = 7,142/x
  3. Step 3: Cross multiply
    23,558x = 35,337.08 × 7,142
  4. Step 4: Simplify right side
    23,558x = 252,377,425.36
  5. Step 5: Solve for x
    x = 252,377,425.36/23,558
  6. Step 6: Final answer
    x = 10,713.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.