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Finding the Fourth Proportional to 22,846.92, 34,271.46 and 7,264.68

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Solution

The fourth proportional to 22,846.92, 34,271.46 and 7,264.68 is: 10,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.92 : 34,271.46 = 7,264.68 : x
  2. Step 2: Convert to fraction form
    22,846.92/34,271.46 = 7,264.68/x
  3. Step 3: Cross multiply
    22,846.92x = 34,271.46 × 7,264.68
  4. Step 4: Simplify right side
    22,846.92x = 248,971,190.03
  5. Step 5: Solve for x
    x = 248,971,190.03/22,846.92
  6. Step 6: Final answer
    x = 10,897.36

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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.