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Finding the Fourth Proportional to 10,230.36, 15,345.06 and 2,834.65

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Solution

The fourth proportional to 10,230.36, 15,345.06 and 2,834.65 is: 4,251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.36 : 15,345.06 = 2,834.65 : x
  2. Step 2: Convert to fraction form
    10,230.36/15,345.06 = 2,834.65/x
  3. Step 3: Cross multiply
    10,230.36x = 15,345.06 × 2,834.65
  4. Step 4: Simplify right side
    10,230.36x = 43,497,874.33
  5. Step 5: Solve for x
    x = 43,497,874.33/10,230.36
  6. Step 6: Final answer
    x = 4,251.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.