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Finding the Fourth Proportional to 19,214.13, 28,824.17 and 8,120.86

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Solution

The fourth proportional to 19,214.13, 28,824.17 and 8,120.86 is: 12,182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.13 : 28,824.17 = 8,120.86 : x
  2. Step 2: Convert to fraction form
    19,214.13/28,824.17 = 8,120.86/x
  3. Step 3: Cross multiply
    19,214.13x = 28,824.17 × 8,120.86
  4. Step 4: Simplify right side
    19,214.13x = 234,077,049.19
  5. Step 5: Solve for x
    x = 234,077,049.19/19,214.13
  6. Step 6: Final answer
    x = 12,182.55

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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.