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Finding the Fourth Proportional to 14,538.16, 20,062.92 and 8,249.86

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Solution

The fourth proportional to 14,538.16, 20,062.92 and 8,249.86 is: 11,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.16 : 20,062.92 = 8,249.86 : x
  2. Step 2: Convert to fraction form
    14,538.16/20,062.92 = 8,249.86/x
  3. Step 3: Cross multiply
    14,538.16x = 20,062.92 × 8,249.86
  4. Step 4: Simplify right side
    14,538.16x = 165,516,281.19
  5. Step 5: Solve for x
    x = 165,516,281.19/14,538.16
  6. Step 6: Final answer
    x = 11,384.95

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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.