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Finding the Fourth Proportional to 17,123.96, 23,630.97 and 9,570.28

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Solution

The fourth proportional to 17,123.96, 23,630.97 and 9,570.28 is: 13,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.96 : 23,630.97 = 9,570.28 : x
  2. Step 2: Convert to fraction form
    17,123.96/23,630.97 = 9,570.28/x
  3. Step 3: Cross multiply
    17,123.96x = 23,630.97 × 9,570.28
  4. Step 4: Simplify right side
    17,123.96x = 226,154,976.38
  5. Step 5: Solve for x
    x = 226,154,976.38/17,123.96
  6. Step 6: Final answer
    x = 13,206.94

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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.