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Finding the Fourth Proportional to 12,096.13, 18,151.89 and 6,553.30

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Solution

The fourth proportional to 12,096.13, 18,151.89 and 6,553.30 is: 9,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.13 : 18,151.89 = 6,553.30 : x
  2. Step 2: Convert to fraction form
    12,096.13/18,151.89 = 6,553.30/x
  3. Step 3: Cross multiply
    12,096.13x = 18,151.89 × 6,553.30
  4. Step 4: Simplify right side
    12,096.13x = 118,954,780.74
  5. Step 5: Solve for x
    x = 118,954,780.74/12,096.13
  6. Step 6: Final answer
    x = 9,834.12

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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.