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Finding the Fourth Proportional to 17,619.40, 24,314.76 and 9,661.76

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Solution

The fourth proportional to 17,619.40, 24,314.76 and 9,661.76 is: 13,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.40 : 24,314.76 = 9,661.76 : x
  2. Step 2: Convert to fraction form
    17,619.40/24,314.76 = 9,661.76/x
  3. Step 3: Cross multiply
    17,619.40x = 24,314.76 × 9,661.76
  4. Step 4: Simplify right side
    17,619.40x = 234,923,375.58
  5. Step 5: Solve for x
    x = 234,923,375.58/17,619.40
  6. Step 6: Final answer
    x = 13,333.22

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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.