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Finding the Fourth Proportional to 27,214.17, 40,811.52 and 9,680.49

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Solution

The fourth proportional to 27,214.17, 40,811.52 and 9,680.49 is: 14,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.17 : 40,811.52 = 9,680.49 : x
  2. Step 2: Convert to fraction form
    27,214.17/40,811.52 = 9,680.49/x
  3. Step 3: Cross multiply
    27,214.17x = 40,811.52 × 9,680.49
  4. Step 4: Simplify right side
    27,214.17x = 395,075,511.24
  5. Step 5: Solve for x
    x = 395,075,511.24/27,214.17
  6. Step 6: Final answer
    x = 14,517.27

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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.