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Finding the Fourth Proportional to 13,997.71, 20,998.79 and 4,638.06

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Solution

The fourth proportional to 13,997.71, 20,998.79 and 4,638.06 is: 6,957.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.71 : 20,998.79 = 4,638.06 : x
  2. Step 2: Convert to fraction form
    13,997.71/20,998.79 = 4,638.06/x
  3. Step 3: Cross multiply
    13,997.71x = 20,998.79 × 4,638.06
  4. Step 4: Simplify right side
    13,997.71x = 97,393,519.76
  5. Step 5: Solve for x
    x = 97,393,519.76/13,997.71
  6. Step 6: Final answer
    x = 6,957.82

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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.