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Finding the Fourth Proportional to 14,912.30, 20,589.17 and 13,648.50

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Solution

The fourth proportional to 14,912.30, 20,589.17 and 13,648.50 is: 18,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.30 : 20,589.17 = 13,648.50 : x
  2. Step 2: Convert to fraction form
    14,912.30/20,589.17 = 13,648.50/x
  3. Step 3: Cross multiply
    14,912.30x = 20,589.17 × 13,648.50
  4. Step 4: Simplify right side
    14,912.30x = 281,011,218.50
  5. Step 5: Solve for x
    x = 281,011,218.50/14,912.30
  6. Step 6: Final answer
    x = 18,844.26

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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.