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Finding the Fourth Proportional to 22,846.10, 34,269.82 and 6,206.04

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Solution

The fourth proportional to 22,846.10, 34,269.82 and 6,206.04 is: 9,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.10 : 34,269.82 = 6,206.04 : x
  2. Step 2: Convert to fraction form
    22,846.10/34,269.82 = 6,206.04/x
  3. Step 3: Cross multiply
    22,846.10x = 34,269.82 × 6,206.04
  4. Step 4: Simplify right side
    22,846.10x = 212,679,858.20
  5. Step 5: Solve for x
    x = 212,679,858.20/22,846.10
  6. Step 6: Final answer
    x = 9,309.24

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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.