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Finding the Fourth Proportional to 11,577.66, 17,348.24 and 8,951.57

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Solution

The fourth proportional to 11,577.66, 17,348.24 and 8,951.57 is: 13,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.66 : 17,348.24 = 8,951.57 : x
  2. Step 2: Convert to fraction form
    11,577.66/17,348.24 = 8,951.57/x
  3. Step 3: Cross multiply
    11,577.66x = 17,348.24 × 8,951.57
  4. Step 4: Simplify right side
    11,577.66x = 155,293,984.74
  5. Step 5: Solve for x
    x = 155,293,984.74/11,577.66
  6. Step 6: Final answer
    x = 13,413.24

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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.