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Finding the Fourth Proportional to 22,663.38, 31,266.73 and 16,709.18

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Solution

The fourth proportional to 22,663.38, 31,266.73 and 16,709.18 is: 23,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663.38 : 31,266.73 = 16,709.18 : x
  2. Step 2: Convert to fraction form
    22,663.38/31,266.73 = 16,709.18/x
  3. Step 3: Cross multiply
    22,663.38x = 31,266.73 × 16,709.18
  4. Step 4: Simplify right side
    22,663.38x = 522,441,419.58
  5. Step 5: Solve for x
    x = 522,441,419.58/22,663.38
  6. Step 6: Final answer
    x = 23,052.23

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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.