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Finding the Fourth Proportional to 27,764.32, 38,314.80 and 15,188.92

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Solution

The fourth proportional to 27,764.32, 38,314.80 and 15,188.92 is: 20,960.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764.32 : 38,314.80 = 15,188.92 : x
  2. Step 2: Convert to fraction form
    27,764.32/38,314.80 = 15,188.92/x
  3. Step 3: Cross multiply
    27,764.32x = 38,314.80 × 15,188.92
  4. Step 4: Simplify right side
    27,764.32x = 581,960,432.02
  5. Step 5: Solve for x
    x = 581,960,432.02/27,764.32
  6. Step 6: Final answer
    x = 20,960.73

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