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Finding the Fourth Proportional to 13,694.27, 18,898.10 and 7,406.65

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Solution

The fourth proportional to 13,694.27, 18,898.10 and 7,406.65 is: 10,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.27 : 18,898.10 = 7,406.65 : x
  2. Step 2: Convert to fraction form
    13,694.27/18,898.10 = 7,406.65/x
  3. Step 3: Cross multiply
    13,694.27x = 18,898.10 × 7,406.65
  4. Step 4: Simplify right side
    13,694.27x = 139,971,573.58
  5. Step 5: Solve for x
    x = 139,971,573.58/13,694.27
  6. Step 6: Final answer
    x = 10,221.18

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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.