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Finding the Fourth Proportional to 19,901.40, 27,447.82 and 12,342.48

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Solution

The fourth proportional to 19,901.40, 27,447.82 and 12,342.48 is: 17,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,901.40 : 27,447.82 = 12,342.48 : x
  2. Step 2: Convert to fraction form
    19,901.40/27,447.82 = 12,342.48/x
  3. Step 3: Cross multiply
    19,901.40x = 27,447.82 × 12,342.48
  4. Step 4: Simplify right side
    19,901.40x = 338,774,169.39
  5. Step 5: Solve for x
    x = 338,774,169.39/19,901.40
  6. Step 6: Final answer
    x = 17,022.63

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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.