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Finding the Fourth Proportional to 17,841.21, 24,622.37 and 9,884.17

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Solution

The fourth proportional to 17,841.21, 24,622.37 and 9,884.17 is: 13,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,841.21 : 24,622.37 = 9,884.17 : x
  2. Step 2: Convert to fraction form
    17,841.21/24,622.37 = 9,884.17/x
  3. Step 3: Cross multiply
    17,841.21x = 24,622.37 × 9,884.17
  4. Step 4: Simplify right side
    17,841.21x = 243,371,730.03
  5. Step 5: Solve for x
    x = 243,371,730.03/17,841.21
  6. Step 6: Final answer
    x = 13,640.99

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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.