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Finding the Fourth Proportional to 12,561.50, 18,827.92 and 5,060.26

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Solution

The fourth proportional to 12,561.50, 18,827.92 and 5,060.26 is: 7,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.50 : 18,827.92 = 5,060.26 : x
  2. Step 2: Convert to fraction form
    12,561.50/18,827.92 = 5,060.26/x
  3. Step 3: Cross multiply
    12,561.50x = 18,827.92 × 5,060.26
  4. Step 4: Simplify right side
    12,561.50x = 95,274,170.46
  5. Step 5: Solve for x
    x = 95,274,170.46/12,561.50
  6. Step 6: Final answer
    x = 7,584.62

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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.