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Finding the Fourth Proportional to 12,413.19, 17,128.28 and 7,375.54

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Solution

The fourth proportional to 12,413.19, 17,128.28 and 7,375.54 is: 10,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.19 : 17,128.28 = 7,375.54 : x
  2. Step 2: Convert to fraction form
    12,413.19/17,128.28 = 7,375.54/x
  3. Step 3: Cross multiply
    12,413.19x = 17,128.28 × 7,375.54
  4. Step 4: Simplify right side
    12,413.19x = 126,330,314.27
  5. Step 5: Solve for x
    x = 126,330,314.27/12,413.19
  6. Step 6: Final answer
    x = 10,177.10

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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.