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Finding the Fourth Proportional to 24,207.64, 36,316.62 and 8,413.14

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Solution

The fourth proportional to 24,207.64, 36,316.62 and 8,413.14 is: 12,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.64 : 36,316.62 = 8,413.14 : x
  2. Step 2: Convert to fraction form
    24,207.64/36,316.62 = 8,413.14/x
  3. Step 3: Cross multiply
    24,207.64x = 36,316.62 × 8,413.14
  4. Step 4: Simplify right side
    24,207.64x = 305,536,766.32
  5. Step 5: Solve for x
    x = 305,536,766.32/24,207.64
  6. Step 6: Final answer
    x = 12,621.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.