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Finding the Fourth Proportional to 13,615.32, 20,413.38 and 5,288.40

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Solution

The fourth proportional to 13,615.32, 20,413.38 and 5,288.40 is: 7,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.32 : 20,413.38 = 5,288.40 : x
  2. Step 2: Convert to fraction form
    13,615.32/20,413.38 = 5,288.40/x
  3. Step 3: Cross multiply
    13,615.32x = 20,413.38 × 5,288.40
  4. Step 4: Simplify right side
    13,615.32x = 107,954,118.79
  5. Step 5: Solve for x
    x = 107,954,118.79/13,615.32
  6. Step 6: Final answer
    x = 7,928.87

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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.