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Finding the Fourth Proportional to 22,993.50, 34,521.78 and 11,907.84

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Solution

The fourth proportional to 22,993.50, 34,521.78 and 11,907.84 is: 17,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.50 : 34,521.78 = 11,907.84 : x
  2. Step 2: Convert to fraction form
    22,993.50/34,521.78 = 11,907.84/x
  3. Step 3: Cross multiply
    22,993.50x = 34,521.78 × 11,907.84
  4. Step 4: Simplify right side
    22,993.50x = 411,079,832.76
  5. Step 5: Solve for x
    x = 411,079,832.76/22,993.50
  6. Step 6: Final answer
    x = 17,878.09

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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.