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Finding the Fourth Proportional to 17,618.14, 24,313.04 and 9,660.20

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Solution

The fourth proportional to 17,618.14, 24,313.04 and 9,660.20 is: 13,331.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,618.14 : 24,313.04 = 9,660.20 : x
  2. Step 2: Convert to fraction form
    17,618.14/24,313.04 = 9,660.20/x
  3. Step 3: Cross multiply
    17,618.14x = 24,313.04 × 9,660.20
  4. Step 4: Simplify right side
    17,618.14x = 234,868,829.01
  5. Step 5: Solve for x
    x = 234,868,829.01/17,618.14
  6. Step 6: Final answer
    x = 13,331.08

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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.