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Finding the Fourth Proportional to 23,178.50, 34,769.73 and 6,538.70

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Solution

The fourth proportional to 23,178.50, 34,769.73 and 6,538.70 is: 9,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.50 : 34,769.73 = 6,538.70 : x
  2. Step 2: Convert to fraction form
    23,178.50/34,769.73 = 6,538.70/x
  3. Step 3: Cross multiply
    23,178.50x = 34,769.73 × 6,538.70
  4. Step 4: Simplify right side
    23,178.50x = 227,348,833.55
  5. Step 5: Solve for x
    x = 227,348,833.55/23,178.50
  6. Step 6: Final answer
    x = 9,808.61

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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.