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Finding the Fourth Proportional to 22,878.65, 34,267.99 and 9,511.12

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Solution

The fourth proportional to 22,878.65, 34,267.99 and 9,511.12 is: 14,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,878.65 : 34,267.99 = 9,511.12 : x
  2. Step 2: Convert to fraction form
    22,878.65/34,267.99 = 9,511.12/x
  3. Step 3: Cross multiply
    22,878.65x = 34,267.99 × 9,511.12
  4. Step 4: Simplify right side
    22,878.65x = 325,926,965.05
  5. Step 5: Solve for x
    x = 325,926,965.05/22,878.65
  6. Step 6: Final answer
    x = 14,245.90

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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.