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Finding the Fourth Proportional to 24,288.54, 36,434.11 and 7,649.88

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Solution

The fourth proportional to 24,288.54, 36,434.11 and 7,649.88 is: 11,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288.54 : 36,434.11 = 7,649.88 : x
  2. Step 2: Convert to fraction form
    24,288.54/36,434.11 = 7,649.88/x
  3. Step 3: Cross multiply
    24,288.54x = 36,434.11 × 7,649.88
  4. Step 4: Simplify right side
    24,288.54x = 278,716,569.41
  5. Step 5: Solve for x
    x = 278,716,569.41/24,288.54
  6. Step 6: Final answer
    x = 11,475.23

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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.