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Finding the Fourth Proportional to 14,504.96, 20,016.24 and 8,217.68

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Solution

The fourth proportional to 14,504.96, 20,016.24 and 8,217.68 is: 11,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.96 : 20,016.24 = 8,217.68 : x
  2. Step 2: Convert to fraction form
    14,504.96/20,016.24 = 8,217.68/x
  3. Step 3: Cross multiply
    14,504.96x = 20,016.24 × 8,217.68
  4. Step 4: Simplify right side
    14,504.96x = 164,487,055.12
  5. Step 5: Solve for x
    x = 164,487,055.12/14,504.96
  6. Step 6: Final answer
    x = 11,340.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.