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Finding the Fourth Proportional to 13,671.44, 20,507.56 and 9,021.24

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Solution

The fourth proportional to 13,671.44, 20,507.56 and 9,021.24 is: 13,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.44 : 20,507.56 = 9,021.24 : x
  2. Step 2: Convert to fraction form
    13,671.44/20,507.56 = 9,021.24/x
  3. Step 3: Cross multiply
    13,671.44x = 20,507.56 × 9,021.24
  4. Step 4: Simplify right side
    13,671.44x = 185,003,620.57
  5. Step 5: Solve for x
    x = 185,003,620.57/13,671.44
  6. Step 6: Final answer
    x = 13,532.12

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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.