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Finding the Fourth Proportional to 17,342.40, 23,932 and 9,789

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Solution

The fourth proportional to 17,342.40, 23,932 and 9,789 is: 13,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.40 : 23,932 = 9,789 : x
  2. Step 2: Convert to fraction form
    17,342.40/23,932 = 9,789/x
  3. Step 3: Cross multiply
    17,342.40x = 23,932 × 9,789
  4. Step 4: Simplify right side
    17,342.40x = 234,270,348
  5. Step 5: Solve for x
    x = 234,270,348/17,342.40
  6. Step 6: Final answer
    x = 13,508.53

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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.