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Finding the Fourth Proportional to 19,642.56, 27,106.21 and 10,689.87

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Solution

The fourth proportional to 19,642.56, 27,106.21 and 10,689.87 is: 14,751.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.56 : 27,106.21 = 10,689.87 : x
  2. Step 2: Convert to fraction form
    19,642.56/27,106.21 = 10,689.87/x
  3. Step 3: Cross multiply
    19,642.56x = 27,106.21 × 10,689.87
  4. Step 4: Simplify right side
    19,642.56x = 289,761,672.11
  5. Step 5: Solve for x
    x = 289,761,672.11/19,642.56
  6. Step 6: Final answer
    x = 14,751.73

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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.