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Finding the Fourth Proportional to 12,413.28, 17,128.80 and 7,377.60

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Solution

The fourth proportional to 12,413.28, 17,128.80 and 7,377.60 is: 10,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.28 : 17,128.80 = 7,377.60 : x
  2. Step 2: Convert to fraction form
    12,413.28/17,128.80 = 7,377.60/x
  3. Step 3: Cross multiply
    12,413.28x = 17,128.80 × 7,377.60
  4. Step 4: Simplify right side
    12,413.28x = 126,369,434.88
  5. Step 5: Solve for x
    x = 126,369,434.88/12,413.28
  6. Step 6: Final answer
    x = 10,180.18

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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.