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Finding the Fourth Proportional to 24,482.91, 36,738.21 and 10,441.46

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Solution

The fourth proportional to 24,482.91, 36,738.21 and 10,441.46 is: 15,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.91 : 36,738.21 = 10,441.46 : x
  2. Step 2: Convert to fraction form
    24,482.91/36,738.21 = 10,441.46/x
  3. Step 3: Cross multiply
    24,482.91x = 36,738.21 × 10,441.46
  4. Step 4: Simplify right side
    24,482.91x = 383,600,415.80
  5. Step 5: Solve for x
    x = 383,600,415.80/24,482.91
  6. Step 6: Final answer
    x = 15,668.09

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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.