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Finding the Fourth Proportional to 24,205.50, 36,309.62 and 8,623.13

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Solution

The fourth proportional to 24,205.50, 36,309.62 and 8,623.13 is: 12,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.50 : 36,309.62 = 8,623.13 : x
  2. Step 2: Convert to fraction form
    24,205.50/36,309.62 = 8,623.13/x
  3. Step 3: Cross multiply
    24,205.50x = 36,309.62 × 8,623.13
  4. Step 4: Simplify right side
    24,205.50x = 313,102,413.52
  5. Step 5: Solve for x
    x = 313,102,413.52/24,205.50
  6. Step 6: Final answer
    x = 12,935.18

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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.