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Finding the Fourth Proportional to 19,818.27, 29,737.14 and 7,971.57

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Solution

The fourth proportional to 19,818.27, 29,737.14 and 7,971.57 is: 11,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.27 : 29,737.14 = 7,971.57 : x
  2. Step 2: Convert to fraction form
    19,818.27/29,737.14 = 7,971.57/x
  3. Step 3: Cross multiply
    19,818.27x = 29,737.14 × 7,971.57
  4. Step 4: Simplify right side
    19,818.27x = 237,051,693.11
  5. Step 5: Solve for x
    x = 237,051,693.11/19,818.27
  6. Step 6: Final answer
    x = 11,961.27

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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.