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Finding the Fourth Proportional to 16,185.71, 24,270.29 and 7,413.11

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Solution

The fourth proportional to 16,185.71, 24,270.29 and 7,413.11 is: 11,115.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.71 : 24,270.29 = 7,413.11 : x
  2. Step 2: Convert to fraction form
    16,185.71/24,270.29 = 7,413.11/x
  3. Step 3: Cross multiply
    16,185.71x = 24,270.29 × 7,413.11
  4. Step 4: Simplify right side
    16,185.71x = 179,918,171.08
  5. Step 5: Solve for x
    x = 179,918,171.08/16,185.71
  6. Step 6: Final answer
    x = 11,115.87

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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.