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Finding the Fourth Proportional to 24,230.97, 36,346.82 and 6,462

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Solution

The fourth proportional to 24,230.97, 36,346.82 and 6,462 is: 9,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.97 : 36,346.82 = 6,462 : x
  2. Step 2: Convert to fraction form
    24,230.97/36,346.82 = 6,462/x
  3. Step 3: Cross multiply
    24,230.97x = 36,346.82 × 6,462
  4. Step 4: Simplify right side
    24,230.97x = 234,873,118.53
  5. Step 5: Solve for x
    x = 234,873,118.53/24,230.97
  6. Step 6: Final answer
    x = 9,693.10

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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.