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Finding the Fourth Proportional to 14,568.16, 20,104.12 and 8,282.56

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Solution

The fourth proportional to 14,568.16, 20,104.12 and 8,282.56 is: 11,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.16 : 20,104.12 = 8,282.56 : x
  2. Step 2: Convert to fraction form
    14,568.16/20,104.12 = 8,282.56/x
  3. Step 3: Cross multiply
    14,568.16x = 20,104.12 × 8,282.56
  4. Step 4: Simplify right side
    14,568.16x = 166,513,580.15
  5. Step 5: Solve for x
    x = 166,513,580.15/14,568.16
  6. Step 6: Final answer
    x = 11,429.97

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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.