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Finding the Fourth Proportional to 24,434.71, 36,660.25 and 7,797.11

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Solution

The fourth proportional to 24,434.71, 36,660.25 and 7,797.11 is: 11,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.71 : 36,660.25 = 7,797.11 : x
  2. Step 2: Convert to fraction form
    24,434.71/36,660.25 = 7,797.11/x
  3. Step 3: Cross multiply
    24,434.71x = 36,660.25 × 7,797.11
  4. Step 4: Simplify right side
    24,434.71x = 285,844,001.88
  5. Step 5: Solve for x
    x = 285,844,001.88/24,434.71
  6. Step 6: Final answer
    x = 11,698.28

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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.