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Finding the Fourth Proportional to 24,403.64, 36,604.54 and 6,873

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Solution

The fourth proportional to 24,403.64, 36,604.54 and 6,873 is: 10,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,403.64 : 36,604.54 = 6,873 : x
  2. Step 2: Convert to fraction form
    24,403.64/36,604.54 = 6,873/x
  3. Step 3: Cross multiply
    24,403.64x = 36,604.54 × 6,873
  4. Step 4: Simplify right side
    24,403.64x = 251,583,003.42
  5. Step 5: Solve for x
    x = 251,583,003.42/24,403.64
  6. Step 6: Final answer
    x = 10,309.24

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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.