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Finding the Fourth Proportional to 24,506.99, 36,764.13 and 11,360.69

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Solution

The fourth proportional to 24,506.99, 36,764.13 and 11,360.69 is: 17,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.99 : 36,764.13 = 11,360.69 : x
  2. Step 2: Convert to fraction form
    24,506.99/36,764.13 = 11,360.69/x
  3. Step 3: Cross multiply
    24,506.99x = 36,764.13 × 11,360.69
  4. Step 4: Simplify right side
    24,506.99x = 417,665,884.05
  5. Step 5: Solve for x
    x = 417,665,884.05/24,506.99
  6. Step 6: Final answer
    x = 17,042.72

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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.