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Finding the Fourth Proportional to 13,851.92, 20,785.20 and 6,066.24

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Solution

The fourth proportional to 13,851.92, 20,785.20 and 6,066.24 is: 9,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.92 : 20,785.20 = 6,066.24 : x
  2. Step 2: Convert to fraction form
    13,851.92/20,785.20 = 6,066.24/x
  3. Step 3: Cross multiply
    13,851.92x = 20,785.20 × 6,066.24
  4. Step 4: Simplify right side
    13,851.92x = 126,088,011.65
  5. Step 5: Solve for x
    x = 126,088,011.65/13,851.92
  6. Step 6: Final answer
    x = 9,102.57

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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.