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Finding the Fourth Proportional to 27,753, 38,298.42 and 16,423.08

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Solution

The fourth proportional to 27,753, 38,298.42 and 16,423.08 is: 22,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,753 : 38,298.42 = 16,423.08 : x
  2. Step 2: Convert to fraction form
    27,753/38,298.42 = 16,423.08/x
  3. Step 3: Cross multiply
    27,753x = 38,298.42 × 16,423.08
  4. Step 4: Simplify right side
    27,753x = 628,978,015.53
  5. Step 5: Solve for x
    x = 628,978,015.53/27,753
  6. Step 6: Final answer
    x = 22,663.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.