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Finding the Fourth Proportional to 16,744.38, 23,107 and 9,574.22

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Solution

The fourth proportional to 16,744.38, 23,107 and 9,574.22 is: 13,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,744.38 : 23,107 = 9,574.22 : x
  2. Step 2: Convert to fraction form
    16,744.38/23,107 = 9,574.22/x
  3. Step 3: Cross multiply
    16,744.38x = 23,107 × 9,574.22
  4. Step 4: Simplify right side
    16,744.38x = 221,231,501.54
  5. Step 5: Solve for x
    x = 221,231,501.54/16,744.38
  6. Step 6: Final answer
    x = 13,212.28

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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.