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Finding the Fourth Proportional to 22,357, 33,535.09 and 5,716.77

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Solution

The fourth proportional to 22,357, 33,535.09 and 5,716.77 is: 8,575.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357 : 33,535.09 = 5,716.77 : x
  2. Step 2: Convert to fraction form
    22,357/33,535.09 = 5,716.77/x
  3. Step 3: Cross multiply
    22,357x = 33,535.09 × 5,716.77
  4. Step 4: Simplify right side
    22,357x = 191,712,396.46
  5. Step 5: Solve for x
    x = 191,712,396.46/22,357
  6. Step 6: Final answer
    x = 8,575.05

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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.