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Finding the Fourth Proportional to 22,817.58, 34,226.43 and 6,177.70

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Solution

The fourth proportional to 22,817.58, 34,226.43 and 6,177.70 is: 9,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,817.58 : 34,226.43 = 6,177.70 : x
  2. Step 2: Convert to fraction form
    22,817.58/34,226.43 = 6,177.70/x
  3. Step 3: Cross multiply
    22,817.58x = 34,226.43 × 6,177.70
  4. Step 4: Simplify right side
    22,817.58x = 211,440,616.61
  5. Step 5: Solve for x
    x = 211,440,616.61/22,817.58
  6. Step 6: Final answer
    x = 9,266.57

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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.