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Finding the Fourth Proportional to 22,846.94, 34,271.13 and 6,206.93

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Solution

The fourth proportional to 22,846.94, 34,271.13 and 6,206.93 is: 9,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.94 : 34,271.13 = 6,206.93 : x
  2. Step 2: Convert to fraction form
    22,846.94/34,271.13 = 6,206.93/x
  3. Step 3: Cross multiply
    22,846.94x = 34,271.13 × 6,206.93
  4. Step 4: Simplify right side
    22,846.94x = 212,718,504.93
  5. Step 5: Solve for x
    x = 212,718,504.93/22,846.94
  6. Step 6: Final answer
    x = 9,310.59

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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.