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Finding the Fourth Proportional to 22,667.74, 34,007.99 and 7,878.15

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Solution

The fourth proportional to 22,667.74, 34,007.99 and 7,878.15 is: 11,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,667.74 : 34,007.99 = 7,878.15 : x
  2. Step 2: Convert to fraction form
    22,667.74/34,007.99 = 7,878.15/x
  3. Step 3: Cross multiply
    22,667.74x = 34,007.99 × 7,878.15
  4. Step 4: Simplify right side
    22,667.74x = 267,920,007.03
  5. Step 5: Solve for x
    x = 267,920,007.03/22,667.74
  6. Step 6: Final answer
    x = 11,819.44

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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.