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Finding the Fourth Proportional to 12,473.92, 17,206.45 and 7,434.78

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Solution

The fourth proportional to 12,473.92, 17,206.45 and 7,434.78 is: 10,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473.92 : 17,206.45 = 7,434.78 : x
  2. Step 2: Convert to fraction form
    12,473.92/17,206.45 = 7,434.78/x
  3. Step 3: Cross multiply
    12,473.92x = 17,206.45 × 7,434.78
  4. Step 4: Simplify right side
    12,473.92x = 127,926,170.33
  5. Step 5: Solve for x
    x = 127,926,170.33/12,473.92
  6. Step 6: Final answer
    x = 10,255.49

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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.