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Finding the Fourth Proportional to 12,434.40, 17,162.40 and 7,722.24

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Solution

The fourth proportional to 12,434.40, 17,162.40 and 7,722.24 is: 10,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.40 : 17,162.40 = 7,722.24 : x
  2. Step 2: Convert to fraction form
    12,434.40/17,162.40 = 7,722.24/x
  3. Step 3: Cross multiply
    12,434.40x = 17,162.40 × 7,722.24
  4. Step 4: Simplify right side
    12,434.40x = 132,532,171.78
  5. Step 5: Solve for x
    x = 132,532,171.78/12,434.40
  6. Step 6: Final answer
    x = 10,658.51

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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.