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Finding the Fourth Proportional to 19,818.56, 29,737.58 and 7,971.84

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Solution

The fourth proportional to 19,818.56, 29,737.58 and 7,971.84 is: 11,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.56 : 29,737.58 = 7,971.84 : x
  2. Step 2: Convert to fraction form
    19,818.56/29,737.58 = 7,971.84/x
  3. Step 3: Cross multiply
    19,818.56x = 29,737.58 × 7,971.84
  4. Step 4: Simplify right side
    19,818.56x = 237,063,229.75
  5. Step 5: Solve for x
    x = 237,063,229.75/19,818.56
  6. Step 6: Final answer
    x = 11,961.68

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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.