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Finding the Fourth Proportional to 13,301.85, 19,959.62 and 8,049.41

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Solution

The fourth proportional to 13,301.85, 19,959.62 and 8,049.41 is: 12,078.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.85 : 19,959.62 = 8,049.41 : x
  2. Step 2: Convert to fraction form
    13,301.85/19,959.62 = 8,049.41/x
  3. Step 3: Cross multiply
    13,301.85x = 19,959.62 × 8,049.41
  4. Step 4: Simplify right side
    13,301.85x = 160,663,099.63
  5. Step 5: Solve for x
    x = 160,663,099.63/13,301.85
  6. Step 6: Final answer
    x = 12,078.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.