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Finding the Fourth Proportional to 17,353.38, 23,947.67 and 9,901.38

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Solution

The fourth proportional to 17,353.38, 23,947.67 and 9,901.38 is: 13,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,353.38 : 23,947.67 = 9,901.38 : x
  2. Step 2: Convert to fraction form
    17,353.38/23,947.67 = 9,901.38/x
  3. Step 3: Cross multiply
    17,353.38x = 23,947.67 × 9,901.38
  4. Step 4: Simplify right side
    17,353.38x = 237,114,980.78
  5. Step 5: Solve for x
    x = 237,114,980.78/17,353.38
  6. Step 6: Final answer
    x = 13,663.91

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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.