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Finding the Fourth Proportional to 24,630.24, 33,989.52 and 13,452

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Solution

The fourth proportional to 24,630.24, 33,989.52 and 13,452 is: 18,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,630.24 : 33,989.52 = 13,452 : x
  2. Step 2: Convert to fraction form
    24,630.24/33,989.52 = 13,452/x
  3. Step 3: Cross multiply
    24,630.24x = 33,989.52 × 13,452
  4. Step 4: Simplify right side
    24,630.24x = 457,227,023.04
  5. Step 5: Solve for x
    x = 457,227,023.04/24,630.24
  6. Step 6: Final answer
    x = 18,563.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.