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Finding the Fourth Proportional to 13,071.78, 18,040.05 and 7,694.10

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Solution

The fourth proportional to 13,071.78, 18,040.05 and 7,694.10 is: 10,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.78 : 18,040.05 = 7,694.10 : x
  2. Step 2: Convert to fraction form
    13,071.78/18,040.05 = 7,694.10/x
  3. Step 3: Cross multiply
    13,071.78x = 18,040.05 × 7,694.10
  4. Step 4: Simplify right side
    13,071.78x = 138,801,948.71
  5. Step 5: Solve for x
    x = 138,801,948.71/13,071.78
  6. Step 6: Final answer
    x = 10,618.44

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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.