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Finding the Fourth Proportional to 23,773.20, 35,661.78 and 6,243

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Solution

The fourth proportional to 23,773.20, 35,661.78 and 6,243 is: 9,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.20 : 35,661.78 = 6,243 : x
  2. Step 2: Convert to fraction form
    23,773.20/35,661.78 = 6,243/x
  3. Step 3: Cross multiply
    23,773.20x = 35,661.78 × 6,243
  4. Step 4: Simplify right side
    23,773.20x = 222,636,492.54
  5. Step 5: Solve for x
    x = 222,636,492.54/23,773.20
  6. Step 6: Final answer
    x = 9,365.02

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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.