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Finding the Fourth Proportional to 22,855.90, 34,284.96 and 8,065

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Solution

The fourth proportional to 22,855.90, 34,284.96 and 8,065 is: 12,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.90 : 34,284.96 = 8,065 : x
  2. Step 2: Convert to fraction form
    22,855.90/34,284.96 = 8,065/x
  3. Step 3: Cross multiply
    22,855.90x = 34,284.96 × 8,065
  4. Step 4: Simplify right side
    22,855.90x = 276,508,202.40
  5. Step 5: Solve for x
    x = 276,508,202.40/22,855.90
  6. Step 6: Final answer
    x = 12,097.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.