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Finding the Fourth Proportional to 20,034.32, 30,049.92 and 8,184.93

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Solution

The fourth proportional to 20,034.32, 30,049.92 and 8,184.93 is: 12,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,034.32 : 30,049.92 = 8,184.93 : x
  2. Step 2: Convert to fraction form
    20,034.32/30,049.92 = 8,184.93/x
  3. Step 3: Cross multiply
    20,034.32x = 30,049.92 × 8,184.93
  4. Step 4: Simplify right side
    20,034.32x = 245,956,588.38
  5. Step 5: Solve for x
    x = 245,956,588.38/20,034.32
  6. Step 6: Final answer
    x = 12,276.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.