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Finding the Fourth Proportional to 17,619.14, 24,314.42 and 9,661.20

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Solution

The fourth proportional to 17,619.14, 24,314.42 and 9,661.20 is: 13,332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.14 : 24,314.42 = 9,661.20 : x
  2. Step 2: Convert to fraction form
    17,619.14/24,314.42 = 9,661.20/x
  3. Step 3: Cross multiply
    17,619.14x = 24,314.42 × 9,661.20
  4. Step 4: Simplify right side
    17,619.14x = 234,906,474.50
  5. Step 5: Solve for x
    x = 234,906,474.50/17,619.14
  6. Step 6: Final answer
    x = 13,332.46

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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.