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Finding the Fourth Proportional to 17,618.25, 24,313.01 and 9,660.46

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Solution

The fourth proportional to 17,618.25, 24,313.01 and 9,660.46 is: 13,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.25 : 24,313.01 = 9,660.46 : x
  2. Step 2: Convert to fraction form
    17,618.25/24,313.01 = 9,660.46/x
  3. Step 3: Cross multiply
    17,618.25x = 24,313.01 × 9,660.46
  4. Step 4: Simplify right side
    17,618.25x = 234,874,860.58
  5. Step 5: Solve for x
    x = 234,874,860.58/17,618.25
  6. Step 6: Final answer
    x = 13,331.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.