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Finding the Fourth Proportional to 16,900.38, 23,322.72 and 9,347.33

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Solution

The fourth proportional to 16,900.38, 23,322.72 and 9,347.33 is: 12,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,900.38 : 23,322.72 = 9,347.33 : x
  2. Step 2: Convert to fraction form
    16,900.38/23,322.72 = 9,347.33/x
  3. Step 3: Cross multiply
    16,900.38x = 23,322.72 × 9,347.33
  4. Step 4: Simplify right side
    16,900.38x = 218,005,160.34
  5. Step 5: Solve for x
    x = 218,005,160.34/16,900.38
  6. Step 6: Final answer
    x = 12,899.42

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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.