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Finding the Fourth Proportional to 13,141.46, 18,132.96 and 7,834.34

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Solution

The fourth proportional to 13,141.46, 18,132.96 and 7,834.34 is: 10,810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.46 : 18,132.96 = 7,834.34 : x
  2. Step 2: Convert to fraction form
    13,141.46/18,132.96 = 7,834.34/x
  3. Step 3: Cross multiply
    13,141.46x = 18,132.96 × 7,834.34
  4. Step 4: Simplify right side
    13,141.46x = 142,059,773.85
  5. Step 5: Solve for x
    x = 142,059,773.85/13,141.46
  6. Step 6: Final answer
    x = 10,810.04

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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.