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Finding the Fourth Proportional to 17,413.20, 26,112.24 and 6,316.20

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Solution

The fourth proportional to 17,413.20, 26,112.24 and 6,316.20 is: 9,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.20 : 26,112.24 = 6,316.20 : x
  2. Step 2: Convert to fraction form
    17,413.20/26,112.24 = 6,316.20/x
  3. Step 3: Cross multiply
    17,413.20x = 26,112.24 × 6,316.20
  4. Step 4: Simplify right side
    17,413.20x = 164,930,130.29
  5. Step 5: Solve for x
    x = 164,930,130.29/17,413.20
  6. Step 6: Final answer
    x = 9,471.56

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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.