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Finding the Fourth Proportional to 10,216.40, 15,247.78 and 8,987.60

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Solution

The fourth proportional to 10,216.40, 15,247.78 and 8,987.60 is: 13,413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.40 : 15,247.78 = 8,987.60 : x
  2. Step 2: Convert to fraction form
    10,216.40/15,247.78 = 8,987.60/x
  3. Step 3: Cross multiply
    10,216.40x = 15,247.78 × 8,987.60
  4. Step 4: Simplify right side
    10,216.40x = 137,040,947.53
  5. Step 5: Solve for x
    x = 137,040,947.53/10,216.40
  6. Step 6: Final answer
    x = 13,413.82

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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.