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Finding the Fourth Proportional to 13,844.34, 19,099.71 and 7,793.19

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Solution

The fourth proportional to 13,844.34, 19,099.71 and 7,793.19 is: 10,751.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,844.34 : 19,099.71 = 7,793.19 : x
  2. Step 2: Convert to fraction form
    13,844.34/19,099.71 = 7,793.19/x
  3. Step 3: Cross multiply
    13,844.34x = 19,099.71 × 7,793.19
  4. Step 4: Simplify right side
    13,844.34x = 148,847,668.97
  5. Step 5: Solve for x
    x = 148,847,668.97/13,844.34
  6. Step 6: Final answer
    x = 10,751.52

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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.