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Finding the Fourth Proportional to 13,685.70, 20,541.24 and 7,026.96

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Solution

The fourth proportional to 13,685.70, 20,541.24 and 7,026.96 is: 10,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.70 : 20,541.24 = 7,026.96 : x
  2. Step 2: Convert to fraction form
    13,685.70/20,541.24 = 7,026.96/x
  3. Step 3: Cross multiply
    13,685.70x = 20,541.24 × 7,026.96
  4. Step 4: Simplify right side
    13,685.70x = 144,342,471.83
  5. Step 5: Solve for x
    x = 144,342,471.83/13,685.70
  6. Step 6: Final answer
    x = 10,546.96

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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.