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Finding the Fourth Proportional to 21,137.96, 31,704.21 and 7,988.63

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Solution

The fourth proportional to 21,137.96, 31,704.21 and 7,988.63 is: 11,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.96 : 31,704.21 = 7,988.63 : x
  2. Step 2: Convert to fraction form
    21,137.96/31,704.21 = 7,988.63/x
  3. Step 3: Cross multiply
    21,137.96x = 31,704.21 × 7,988.63
  4. Step 4: Simplify right side
    21,137.96x = 253,273,044.61
  5. Step 5: Solve for x
    x = 253,273,044.61/21,137.96
  6. Step 6: Final answer
    x = 11,981.90

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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.