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Finding the Fourth Proportional to 21,138.47, 31,704.96 and 7,989.13

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Solution

The fourth proportional to 21,138.47, 31,704.96 and 7,989.13 is: 11,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.47 : 31,704.96 = 7,989.13 : x
  2. Step 2: Convert to fraction form
    21,138.47/31,704.96 = 7,989.13/x
  3. Step 3: Cross multiply
    21,138.47x = 31,704.96 × 7,989.13
  4. Step 4: Simplify right side
    21,138.47x = 253,294,888.56
  5. Step 5: Solve for x
    x = 253,294,888.56/21,138.47
  6. Step 6: Final answer
    x = 11,982.65

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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.