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Finding the Fourth Proportional to 17,123.40, 23,629.85 and 9,569.79

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Solution

The fourth proportional to 17,123.40, 23,629.85 and 9,569.79 is: 13,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.40 : 23,629.85 = 9,569.79 : x
  2. Step 2: Convert to fraction form
    17,123.40/23,629.85 = 9,569.79/x
  3. Step 3: Cross multiply
    17,123.40x = 23,629.85 × 9,569.79
  4. Step 4: Simplify right side
    17,123.40x = 226,132,654.38
  5. Step 5: Solve for x
    x = 226,132,654.38/17,123.40
  6. Step 6: Final answer
    x = 13,206.06

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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.