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Finding the Fourth Proportional to 13,652.81, 20,452.95 and 8,372.40

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Solution

The fourth proportional to 13,652.81, 20,452.95 and 8,372.40 is: 12,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,652.81 : 20,452.95 = 8,372.40 : x
  2. Step 2: Convert to fraction form
    13,652.81/20,452.95 = 8,372.40/x
  3. Step 3: Cross multiply
    13,652.81x = 20,452.95 × 8,372.40
  4. Step 4: Simplify right side
    13,652.81x = 171,240,278.58
  5. Step 5: Solve for x
    x = 171,240,278.58/13,652.81
  6. Step 6: Final answer
    x = 12,542.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.