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Finding the Fourth Proportional to 22,105.31, 33,158.88 and 6,522.94

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Solution

The fourth proportional to 22,105.31, 33,158.88 and 6,522.94 is: 9,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105.31 : 33,158.88 = 6,522.94 : x
  2. Step 2: Convert to fraction form
    22,105.31/33,158.88 = 6,522.94/x
  3. Step 3: Cross multiply
    22,105.31x = 33,158.88 × 6,522.94
  4. Step 4: Simplify right side
    22,105.31x = 216,293,384.71
  5. Step 5: Solve for x
    x = 216,293,384.71/22,105.31
  6. Step 6: Final answer
    x = 9,784.68

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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.