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Finding the Fourth Proportional to 14,595.92, 20,138.72 and 8,221.28

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Solution

The fourth proportional to 14,595.92, 20,138.72 and 8,221.28 is: 11,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,595.92 : 20,138.72 = 8,221.28 : x
  2. Step 2: Convert to fraction form
    14,595.92/20,138.72 = 8,221.28/x
  3. Step 3: Cross multiply
    14,595.92x = 20,138.72 × 8,221.28
  4. Step 4: Simplify right side
    14,595.92x = 165,566,055.96
  5. Step 5: Solve for x
    x = 165,566,055.96/14,595.92
  6. Step 6: Final answer
    x = 11,343.31

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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.