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Finding the Fourth Proportional to 12,578.41, 18,859.33 and 7,032.34

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Solution

The fourth proportional to 12,578.41, 18,859.33 and 7,032.34 is: 10,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.41 : 18,859.33 = 7,032.34 : x
  2. Step 2: Convert to fraction form
    12,578.41/18,859.33 = 7,032.34/x
  3. Step 3: Cross multiply
    12,578.41x = 18,859.33 × 7,032.34
  4. Step 4: Simplify right side
    12,578.41x = 132,625,220.73
  5. Step 5: Solve for x
    x = 132,625,220.73/12,578.41
  6. Step 6: Final answer
    x = 10,543.88

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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.