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Finding the Fourth Proportional to 13,652.34, 20,463.75 and 6,617.46

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Solution

The fourth proportional to 13,652.34, 20,463.75 and 6,617.46 is: 9,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.34 : 20,463.75 = 6,617.46 : x
  2. Step 2: Convert to fraction form
    13,652.34/20,463.75 = 6,617.46/x
  3. Step 3: Cross multiply
    13,652.34x = 20,463.75 × 6,617.46
  4. Step 4: Simplify right side
    13,652.34x = 135,418,047.08
  5. Step 5: Solve for x
    x = 135,418,047.08/13,652.34
  6. Step 6: Final answer
    x = 9,919.04

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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.