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Finding the Fourth Proportional to 14,638.53, 20,201.28 and 8,178.18

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Solution

The fourth proportional to 14,638.53, 20,201.28 and 8,178.18 is: 11,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.53 : 20,201.28 = 8,178.18 : x
  2. Step 2: Convert to fraction form
    14,638.53/20,201.28 = 8,178.18/x
  3. Step 3: Cross multiply
    14,638.53x = 20,201.28 × 8,178.18
  4. Step 4: Simplify right side
    14,638.53x = 165,209,704.07
  5. Step 5: Solve for x
    x = 165,209,704.07/14,638.53
  6. Step 6: Final answer
    x = 11,285.95

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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.