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Finding the Fourth Proportional to 13,084.24, 18,049.90 and 7,775.29

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Solution

The fourth proportional to 13,084.24, 18,049.90 and 7,775.29 is: 10,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.24 : 18,049.90 = 7,775.29 : x
  2. Step 2: Convert to fraction form
    13,084.24/18,049.90 = 7,775.29/x
  3. Step 3: Cross multiply
    13,084.24x = 18,049.90 × 7,775.29
  4. Step 4: Simplify right side
    13,084.24x = 140,343,206.97
  5. Step 5: Solve for x
    x = 140,343,206.97/13,084.24
  6. Step 6: Final answer
    x = 10,726.13

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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.