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Finding the Fourth Proportional to 13,472.25, 20,203.44 and 5,148.15

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Solution

The fourth proportional to 13,472.25, 20,203.44 and 5,148.15 is: 7,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.25 : 20,203.44 = 5,148.15 : x
  2. Step 2: Convert to fraction form
    13,472.25/20,203.44 = 5,148.15/x
  3. Step 3: Cross multiply
    13,472.25x = 20,203.44 × 5,148.15
  4. Step 4: Simplify right side
    13,472.25x = 104,010,339.64
  5. Step 5: Solve for x
    x = 104,010,339.64/13,472.25
  6. Step 6: Final answer
    x = 7,720.34

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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.