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Finding the Fourth Proportional to 15,157.73, 22,723.13 and 8,141.51

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Solution

The fourth proportional to 15,157.73, 22,723.13 and 8,141.51 is: 12,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,157.73 : 22,723.13 = 8,141.51 : x
  2. Step 2: Convert to fraction form
    15,157.73/22,723.13 = 8,141.51/x
  3. Step 3: Cross multiply
    15,157.73x = 22,723.13 × 8,141.51
  4. Step 4: Simplify right side
    15,157.73x = 185,000,667.29
  5. Step 5: Solve for x
    x = 185,000,667.29/15,157.73
  6. Step 6: Final answer
    x = 12,205.04

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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.