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Finding the Fourth Proportional to 22,415.34, 33,628.05 and 6,834.54

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Solution

The fourth proportional to 22,415.34, 33,628.05 and 6,834.54 is: 10,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.34 : 33,628.05 = 6,834.54 : x
  2. Step 2: Convert to fraction form
    22,415.34/33,628.05 = 6,834.54/x
  3. Step 3: Cross multiply
    22,415.34x = 33,628.05 × 6,834.54
  4. Step 4: Simplify right side
    22,415.34x = 229,832,252.85
  5. Step 5: Solve for x
    x = 229,832,252.85/22,415.34
  6. Step 6: Final answer
    x = 10,253.35

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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.