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Finding the Fourth Proportional to 19,713.22, 27,193.80 and 11,754.16

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Solution

The fourth proportional to 19,713.22, 27,193.80 and 11,754.16 is: 16,214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.22 : 27,193.80 = 11,754.16 : x
  2. Step 2: Convert to fraction form
    19,713.22/27,193.80 = 11,754.16/x
  3. Step 3: Cross multiply
    19,713.22x = 27,193.80 × 11,754.16
  4. Step 4: Simplify right side
    19,713.22x = 319,640,276.21
  5. Step 5: Solve for x
    x = 319,640,276.21/19,713.22
  6. Step 6: Final answer
    x = 16,214.51

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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.