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Finding the Fourth Proportional to 13,472.16, 20,199.55 and 6,452

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Solution

The fourth proportional to 13,472.16, 20,199.55 and 6,452 is: 9,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.16 : 20,199.55 = 6,452 : x
  2. Step 2: Convert to fraction form
    13,472.16/20,199.55 = 6,452/x
  3. Step 3: Cross multiply
    13,472.16x = 20,199.55 × 6,452
  4. Step 4: Simplify right side
    13,472.16x = 130,327,496.60
  5. Step 5: Solve for x
    x = 130,327,496.60/13,472.16
  6. Step 6: Final answer
    x = 9,673.84

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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.