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Finding the Fourth Proportional to 15,027.12, 20,738.70 and 8,314.38

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Solution

The fourth proportional to 15,027.12, 20,738.70 and 8,314.38 is: 11,474.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,027.12 : 20,738.70 = 8,314.38 : x
  2. Step 2: Convert to fraction form
    15,027.12/20,738.70 = 8,314.38/x
  3. Step 3: Cross multiply
    15,027.12x = 20,738.70 × 8,314.38
  4. Step 4: Simplify right side
    15,027.12x = 172,429,432.51
  5. Step 5: Solve for x
    x = 172,429,432.51/15,027.12
  6. Step 6: Final answer
    x = 11,474.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.