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Finding the Fourth Proportional to 22,315.12, 33,472.80 and 7,524.17

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Solution

The fourth proportional to 22,315.12, 33,472.80 and 7,524.17 is: 11,286.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.12 : 33,472.80 = 7,524.17 : x
  2. Step 2: Convert to fraction form
    22,315.12/33,472.80 = 7,524.17/x
  3. Step 3: Cross multiply
    22,315.12x = 33,472.80 × 7,524.17
  4. Step 4: Simplify right side
    22,315.12x = 251,855,037.58
  5. Step 5: Solve for x
    x = 251,855,037.58/22,315.12
  6. Step 6: Final answer
    x = 11,286.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.