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Finding the Fourth Proportional to 19,642.17, 27,106.43 and 10,689.49

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Solution

The fourth proportional to 19,642.17, 27,106.43 and 10,689.49 is: 14,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.17 : 27,106.43 = 10,689.49 : x
  2. Step 2: Convert to fraction form
    19,642.17/27,106.43 = 10,689.49/x
  3. Step 3: Cross multiply
    19,642.17x = 27,106.43 × 10,689.49
  4. Step 4: Simplify right side
    19,642.17x = 289,753,912.42
  5. Step 5: Solve for x
    x = 289,753,912.42/19,642.17
  6. Step 6: Final answer
    x = 14,751.62

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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.