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Finding the Fourth Proportional to 24,282.62, 33,510.14 and 14,209.09

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Solution

The fourth proportional to 24,282.62, 33,510.14 and 14,209.09 is: 19,608.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.62 : 33,510.14 = 14,209.09 : x
  2. Step 2: Convert to fraction form
    24,282.62/33,510.14 = 14,209.09/x
  3. Step 3: Cross multiply
    24,282.62x = 33,510.14 × 14,209.09
  4. Step 4: Simplify right side
    24,282.62x = 476,148,640.38
  5. Step 5: Solve for x
    x = 476,148,640.38/24,282.62
  6. Step 6: Final answer
    x = 19,608.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.