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Finding the Fourth Proportional to 24,413.10, 36,619.65 and 16,097.10

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Solution

The fourth proportional to 24,413.10, 36,619.65 and 16,097.10 is: 24,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,413.10 : 36,619.65 = 16,097.10 : x
  2. Step 2: Convert to fraction form
    24,413.10/36,619.65 = 16,097.10/x
  3. Step 3: Cross multiply
    24,413.10x = 36,619.65 × 16,097.10
  4. Step 4: Simplify right side
    24,413.10x = 589,470,168.02
  5. Step 5: Solve for x
    x = 589,470,168.02/24,413.10
  6. Step 6: Final answer
    x = 24,145.65

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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.