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Finding the Fourth Proportional to 19,781.88, 29,672.76 and 4,991.97

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Solution

The fourth proportional to 19,781.88, 29,672.76 and 4,991.97 is: 7,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.88 : 29,672.76 = 4,991.97 : x
  2. Step 2: Convert to fraction form
    19,781.88/29,672.76 = 4,991.97/x
  3. Step 3: Cross multiply
    19,781.88x = 29,672.76 × 4,991.97
  4. Step 4: Simplify right side
    19,781.88x = 148,125,527.74
  5. Step 5: Solve for x
    x = 148,125,527.74/19,781.88
  6. Step 6: Final answer
    x = 7,487.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.