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Finding the Fourth Proportional to 23,174.54, 34,766.88 and 8,381.92

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Solution

The fourth proportional to 23,174.54, 34,766.88 and 8,381.92 is: 12,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.54 : 34,766.88 = 8,381.92 : x
  2. Step 2: Convert to fraction form
    23,174.54/34,766.88 = 8,381.92/x
  3. Step 3: Cross multiply
    23,174.54x = 34,766.88 × 8,381.92
  4. Step 4: Simplify right side
    23,174.54x = 291,412,991.07
  5. Step 5: Solve for x
    x = 291,412,991.07/23,174.54
  6. Step 6: Final answer
    x = 12,574.70

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1.5x scale

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.