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Finding the Fourth Proportional to 13,694.20, 18,897.96 and 7,406.58

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Solution

The fourth proportional to 13,694.20, 18,897.96 and 7,406.58 is: 10,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.20 : 18,897.96 = 7,406.58 : x
  2. Step 2: Convert to fraction form
    13,694.20/18,897.96 = 7,406.58/x
  3. Step 3: Cross multiply
    13,694.20x = 18,897.96 × 7,406.58
  4. Step 4: Simplify right side
    13,694.20x = 139,969,252.58
  5. Step 5: Solve for x
    x = 139,969,252.58/13,694.20
  6. Step 6: Final answer
    x = 10,221.06

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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.