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Finding the Fourth Proportional to 13,488.72, 18,612.69 and 7,822.26

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Solution

The fourth proportional to 13,488.72, 18,612.69 and 7,822.26 is: 10,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.72 : 18,612.69 = 7,822.26 : x
  2. Step 2: Convert to fraction form
    13,488.72/18,612.69 = 7,822.26/x
  3. Step 3: Cross multiply
    13,488.72x = 18,612.69 × 7,822.26
  4. Step 4: Simplify right side
    13,488.72x = 145,593,300.48
  5. Step 5: Solve for x
    x = 145,593,300.48/13,488.72
  6. Step 6: Final answer
    x = 10,793.71

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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.