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Finding the Fourth Proportional to 24,387.76, 36,578.40 and 6,859.36

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Solution

The fourth proportional to 24,387.76, 36,578.40 and 6,859.36 is: 10,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,387.76 : 36,578.40 = 6,859.36 : x
  2. Step 2: Convert to fraction form
    24,387.76/36,578.40 = 6,859.36/x
  3. Step 3: Cross multiply
    24,387.76x = 36,578.40 × 6,859.36
  4. Step 4: Simplify right side
    24,387.76x = 250,904,413.82
  5. Step 5: Solve for x
    x = 250,904,413.82/24,387.76
  6. Step 6: Final answer
    x = 10,288.13

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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.