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Finding the Fourth Proportional to 17,660.37, 24,371.42 and 9,702.39

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Solution

The fourth proportional to 17,660.37, 24,371.42 and 9,702.39 is: 13,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.37 : 24,371.42 = 9,702.39 : x
  2. Step 2: Convert to fraction form
    17,660.37/24,371.42 = 9,702.39/x
  3. Step 3: Cross multiply
    17,660.37x = 24,371.42 × 9,702.39
  4. Step 4: Simplify right side
    17,660.37x = 236,461,021.69
  5. Step 5: Solve for x
    x = 236,461,021.69/17,660.37
  6. Step 6: Final answer
    x = 13,389.36

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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.