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Finding the Fourth Proportional to 24,485, 36,727.40 and 6,954.84

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Solution

The fourth proportional to 24,485, 36,727.40 and 6,954.84 is: 10,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485 : 36,727.40 = 6,954.84 : x
  2. Step 2: Convert to fraction form
    24,485/36,727.40 = 6,954.84/x
  3. Step 3: Cross multiply
    24,485x = 36,727.40 × 6,954.84
  4. Step 4: Simplify right side
    24,485x = 255,433,190.62
  5. Step 5: Solve for x
    x = 255,433,190.62/24,485
  6. Step 6: Final answer
    x = 10,432.23

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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.