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Finding the Fourth Proportional to 16,494, 22,744.62 and 11,463.90

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Solution

The fourth proportional to 16,494, 22,744.62 and 11,463.90 is: 15,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 22,744.62 = 11,463.90 : x
  2. Step 2: Convert to fraction form
    16,494/22,744.62 = 11,463.90/x
  3. Step 3: Cross multiply
    16,494x = 22,744.62 × 11,463.90
  4. Step 4: Simplify right side
    16,494x = 260,742,049.22
  5. Step 5: Solve for x
    x = 260,742,049.22/16,494
  6. Step 6: Final answer
    x = 15,808.30

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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.