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Finding the Fourth Proportional to 23,838.82, 35,769.75 and 9,809.20

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Solution

The fourth proportional to 23,838.82, 35,769.75 and 9,809.20 is: 14,718.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.82 : 35,769.75 = 9,809.20 : x
  2. Step 2: Convert to fraction form
    23,838.82/35,769.75 = 9,809.20/x
  3. Step 3: Cross multiply
    23,838.82x = 35,769.75 × 9,809.20
  4. Step 4: Simplify right side
    23,838.82x = 350,872,631.70
  5. Step 5: Solve for x
    x = 350,872,631.70/23,838.82
  6. Step 6: Final answer
    x = 14,718.54

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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.