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Finding the Fourth Proportional to 24,464.59, 36,696.89 and 6,934.57

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Solution

The fourth proportional to 24,464.59, 36,696.89 and 6,934.57 is: 10,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.59 : 36,696.89 = 6,934.57 : x
  2. Step 2: Convert to fraction form
    24,464.59/36,696.89 = 6,934.57/x
  3. Step 3: Cross multiply
    24,464.59x = 36,696.89 × 6,934.57
  4. Step 4: Simplify right side
    24,464.59x = 254,477,078.08
  5. Step 5: Solve for x
    x = 254,477,078.08/24,464.59
  6. Step 6: Final answer
    x = 10,401.85

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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.