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Finding the Fourth Proportional to 19,731.26, 27,229.12 and 11,347.76

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Solution

The fourth proportional to 19,731.26, 27,229.12 and 11,347.76 is: 15,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.26 : 27,229.12 = 11,347.76 : x
  2. Step 2: Convert to fraction form
    19,731.26/27,229.12 = 11,347.76/x
  3. Step 3: Cross multiply
    19,731.26x = 27,229.12 × 11,347.76
  4. Step 4: Simplify right side
    19,731.26x = 308,989,518.77
  5. Step 5: Solve for x
    x = 308,989,518.77/19,731.26
  6. Step 6: Final answer
    x = 15,659.90

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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.