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Finding the Fourth Proportional to 24,636.79, 36,961.33 and 7,106.61

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Solution

The fourth proportional to 24,636.79, 36,961.33 and 7,106.61 is: 10,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,636.79 : 36,961.33 = 7,106.61 : x
  2. Step 2: Convert to fraction form
    24,636.79/36,961.33 = 7,106.61/x
  3. Step 3: Cross multiply
    24,636.79x = 36,961.33 × 7,106.61
  4. Step 4: Simplify right side
    24,636.79x = 262,669,757.39
  5. Step 5: Solve for x
    x = 262,669,757.39/24,636.79
  6. Step 6: Final answer
    x = 10,661.69

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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.