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Finding the Fourth Proportional to 21,413.50, 29,568.87 and 13,469.02

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Solution

The fourth proportional to 21,413.50, 29,568.87 and 13,469.02 is: 18,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,413.50 : 29,568.87 = 13,469.02 : x
  2. Step 2: Convert to fraction form
    21,413.50/29,568.87 = 13,469.02/x
  3. Step 3: Cross multiply
    21,413.50x = 29,568.87 × 13,469.02
  4. Step 4: Simplify right side
    21,413.50x = 398,263,701.41
  5. Step 5: Solve for x
    x = 398,263,701.41/21,413.50
  6. Step 6: Final answer
    x = 18,598.72

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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.