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Finding the Fourth Proportional to 17,821.40, 26,732.10 and 8,461.40

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Solution

The fourth proportional to 17,821.40, 26,732.10 and 8,461.40 is: 12,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.40 : 26,732.10 = 8,461.40 : x
  2. Step 2: Convert to fraction form
    17,821.40/26,732.10 = 8,461.40/x
  3. Step 3: Cross multiply
    17,821.40x = 26,732.10 × 8,461.40
  4. Step 4: Simplify right side
    17,821.40x = 226,190,990.94
  5. Step 5: Solve for x
    x = 226,190,990.94/17,821.40
  6. Step 6: Final answer
    x = 12,692.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.