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Finding the Fourth Proportional to 13,687.40, 20,516.70 and 5,364.20

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Solution

The fourth proportional to 13,687.40, 20,516.70 and 5,364.20 is: 8,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.40 : 20,516.70 = 5,364.20 : x
  2. Step 2: Convert to fraction form
    13,687.40/20,516.70 = 5,364.20/x
  3. Step 3: Cross multiply
    13,687.40x = 20,516.70 × 5,364.20
  4. Step 4: Simplify right side
    13,687.40x = 110,055,682.14
  5. Step 5: Solve for x
    x = 110,055,682.14/13,687.40
  6. Step 6: Final answer
    x = 8,040.66

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