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Finding the Fourth Proportional to 20,898.72, 31,348.14 and 6,108

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Solution

The fourth proportional to 20,898.72, 31,348.14 and 6,108 is: 9,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.72 : 31,348.14 = 6,108 : x
  2. Step 2: Convert to fraction form
    20,898.72/31,348.14 = 6,108/x
  3. Step 3: Cross multiply
    20,898.72x = 31,348.14 × 6,108
  4. Step 4: Simplify right side
    20,898.72x = 191,474,439.12
  5. Step 5: Solve for x
    x = 191,474,439.12/20,898.72
  6. Step 6: Final answer
    x = 9,162.02

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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.