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Finding the Fourth Proportional to 11,578.46, 17,283.86 and 10,177.22

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Solution

The fourth proportional to 11,578.46, 17,283.86 and 10,177.22 is: 15,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.46 : 17,283.86 = 10,177.22 : x
  2. Step 2: Convert to fraction form
    11,578.46/17,283.86 = 10,177.22/x
  3. Step 3: Cross multiply
    11,578.46x = 17,283.86 × 10,177.22
  4. Step 4: Simplify right side
    11,578.46x = 175,901,645.67
  5. Step 5: Solve for x
    x = 175,901,645.67/11,578.46
  6. Step 6: Final answer
    x = 15,192.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.