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Finding the Fourth Proportional to 22,847.44, 34,270.80 and 7,264.84

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Solution

The fourth proportional to 22,847.44, 34,270.80 and 7,264.84 is: 10,897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,847.44 : 34,270.80 = 7,264.84 : x
  2. Step 2: Convert to fraction form
    22,847.44/34,270.80 = 7,264.84/x
  3. Step 3: Cross multiply
    22,847.44x = 34,270.80 × 7,264.84
  4. Step 4: Simplify right side
    22,847.44x = 248,971,878.67
  5. Step 5: Solve for x
    x = 248,971,878.67/22,847.44
  6. Step 6: Final answer
    x = 10,897.15

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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.