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Finding the Fourth Proportional to 24,334.39, 36,473.55 and 10,993

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Solution

The fourth proportional to 24,334.39, 36,473.55 and 10,993 is: 16,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.39 : 36,473.55 = 10,993 : x
  2. Step 2: Convert to fraction form
    24,334.39/36,473.55 = 10,993/x
  3. Step 3: Cross multiply
    24,334.39x = 36,473.55 × 10,993
  4. Step 4: Simplify right side
    24,334.39x = 400,953,735.15
  5. Step 5: Solve for x
    x = 400,953,735.15/24,334.39
  6. Step 6: Final answer
    x = 16,476.84

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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.