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Finding the Fourth Proportional to 23,837.81, 35,768.25 and 9,808.20

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Solution

The fourth proportional to 23,837.81, 35,768.25 and 9,808.20 is: 14,717.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.81 : 35,768.25 = 9,808.20 : x
  2. Step 2: Convert to fraction form
    23,837.81/35,768.25 = 9,808.20/x
  3. Step 3: Cross multiply
    23,837.81x = 35,768.25 × 9,808.20
  4. Step 4: Simplify right side
    23,837.81x = 350,822,149.65
  5. Step 5: Solve for x
    x = 350,822,149.65/23,837.81
  6. Step 6: Final answer
    x = 14,717.05

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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.