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Finding the Fourth Proportional to 24,463.02, 36,668.72 and 11,324

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Solution

The fourth proportional to 24,463.02, 36,668.72 and 11,324 is: 16,974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463.02 : 36,668.72 = 11,324 : x
  2. Step 2: Convert to fraction form
    24,463.02/36,668.72 = 11,324/x
  3. Step 3: Cross multiply
    24,463.02x = 36,668.72 × 11,324
  4. Step 4: Simplify right side
    24,463.02x = 415,236,585.28
  5. Step 5: Solve for x
    x = 415,236,585.28/24,463.02
  6. Step 6: Final answer
    x = 16,974.05

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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.