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Finding the Fourth Proportional to 13,507.68, 20,228.16 and 8,562.24

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Solution

The fourth proportional to 13,507.68, 20,228.16 and 8,562.24 is: 12,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.68 : 20,228.16 = 8,562.24 : x
  2. Step 2: Convert to fraction form
    13,507.68/20,228.16 = 8,562.24/x
  3. Step 3: Cross multiply
    13,507.68x = 20,228.16 × 8,562.24
  4. Step 4: Simplify right side
    13,507.68x = 173,198,360.68
  5. Step 5: Solve for x
    x = 173,198,360.68/13,507.68
  6. Step 6: Final answer
    x = 12,822.21

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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.