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Finding the Fourth Proportional to 13,508.64, 20,262.96 and 3,648.96

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Solution

The fourth proportional to 13,508.64, 20,262.96 and 3,648.96 is: 5,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.64 : 20,262.96 = 3,648.96 : x
  2. Step 2: Convert to fraction form
    13,508.64/20,262.96 = 3,648.96/x
  3. Step 3: Cross multiply
    13,508.64x = 20,262.96 × 3,648.96
  4. Step 4: Simplify right side
    13,508.64x = 73,938,730.52
  5. Step 5: Solve for x
    x = 73,938,730.52/13,508.64
  6. Step 6: Final answer
    x = 5,473.44

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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.