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Finding the Fourth Proportional to 13,502.96, 18,631.10 and 7,834.43

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Solution

The fourth proportional to 13,502.96, 18,631.10 and 7,834.43 is: 10,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,502.96 : 18,631.10 = 7,834.43 : x
  2. Step 2: Convert to fraction form
    13,502.96/18,631.10 = 7,834.43/x
  3. Step 3: Cross multiply
    13,502.96x = 18,631.10 × 7,834.43
  4. Step 4: Simplify right side
    13,502.96x = 145,964,048.77
  5. Step 5: Solve for x
    x = 145,964,048.77/13,502.96
  6. Step 6: Final answer
    x = 10,809.78

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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.