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Finding the Fourth Proportional to 17,922.70, 24,732.90 and 9,964.90

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Solution

The fourth proportional to 17,922.70, 24,732.90 and 9,964.90 is: 13,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,922.70 : 24,732.90 = 9,964.90 : x
  2. Step 2: Convert to fraction form
    17,922.70/24,732.90 = 9,964.90/x
  3. Step 3: Cross multiply
    17,922.70x = 24,732.90 × 9,964.90
  4. Step 4: Simplify right side
    17,922.70x = 246,460,875.21
  5. Step 5: Solve for x
    x = 246,460,875.21/17,922.70
  6. Step 6: Final answer
    x = 13,751.33

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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.