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Finding the Fourth Proportional to 15,196.17, 22,797.21 and 5,835.50

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Solution

The fourth proportional to 15,196.17, 22,797.21 and 5,835.50 is: 8,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.17 : 22,797.21 = 5,835.50 : x
  2. Step 2: Convert to fraction form
    15,196.17/22,797.21 = 5,835.50/x
  3. Step 3: Cross multiply
    15,196.17x = 22,797.21 × 5,835.50
  4. Step 4: Simplify right side
    15,196.17x = 133,033,074.05
  5. Step 5: Solve for x
    x = 133,033,074.05/15,196.17
  6. Step 6: Final answer
    x = 8,754.38

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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.