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Finding the Fourth Proportional to 14,512.41, 20,027.35 and 8,140.42

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Solution

The fourth proportional to 14,512.41, 20,027.35 and 8,140.42 is: 11,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.41 : 20,027.35 = 8,140.42 : x
  2. Step 2: Convert to fraction form
    14,512.41/20,027.35 = 8,140.42/x
  3. Step 3: Cross multiply
    14,512.41x = 20,027.35 × 8,140.42
  4. Step 4: Simplify right side
    14,512.41x = 163,030,963.04
  5. Step 5: Solve for x
    x = 163,030,963.04/14,512.41
  6. Step 6: Final answer
    x = 11,233.90

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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.