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Finding the Fourth Proportional to 17,441.97, 24,073.38 and 9,888.45

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Solution

The fourth proportional to 17,441.97, 24,073.38 and 9,888.45 is: 13,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.97 : 24,073.38 = 9,888.45 : x
  2. Step 2: Convert to fraction form
    17,441.97/24,073.38 = 9,888.45/x
  3. Step 3: Cross multiply
    17,441.97x = 24,073.38 × 9,888.45
  4. Step 4: Simplify right side
    17,441.97x = 238,048,414.46
  5. Step 5: Solve for x
    x = 238,048,414.46/17,441.97
  6. Step 6: Final answer
    x = 13,648.02

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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.