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Finding the Fourth Proportional to 13,115.53, 19,678.16 and 6,099.31

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Solution

The fourth proportional to 13,115.53, 19,678.16 and 6,099.31 is: 9,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.53 : 19,678.16 = 6,099.31 : x
  2. Step 2: Convert to fraction form
    13,115.53/19,678.16 = 6,099.31/x
  3. Step 3: Cross multiply
    13,115.53x = 19,678.16 × 6,099.31
  4. Step 4: Simplify right side
    13,115.53x = 120,023,198.07
  5. Step 5: Solve for x
    x = 120,023,198.07/13,115.53
  6. Step 6: Final answer
    x = 9,151.23

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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.