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Finding the Fourth Proportional to 19,642.28, 27,109.86 and 12,568.46

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Solution

The fourth proportional to 19,642.28, 27,109.86 and 12,568.46 is: 17,346.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.28 : 27,109.86 = 12,568.46 : x
  2. Step 2: Convert to fraction form
    19,642.28/27,109.86 = 12,568.46/x
  3. Step 3: Cross multiply
    19,642.28x = 27,109.86 × 12,568.46
  4. Step 4: Simplify right side
    19,642.28x = 340,729,191.02
  5. Step 5: Solve for x
    x = 340,729,191.02/19,642.28
  6. Step 6: Final answer
    x = 17,346.72

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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.