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Finding the Fourth Proportional to 22,415.34, 33,628 and 6,834.18

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Solution

The fourth proportional to 22,415.34, 33,628 and 6,834.18 is: 10,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,415.34 : 33,628 = 6,834.18 : x
  2. Step 2: Convert to fraction form
    22,415.34/33,628 = 6,834.18/x
  3. Step 3: Cross multiply
    22,415.34x = 33,628 × 6,834.18
  4. Step 4: Simplify right side
    22,415.34x = 229,819,805.04
  5. Step 5: Solve for x
    x = 229,819,805.04/22,415.34
  6. Step 6: Final answer
    x = 10,252.79

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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.