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Finding the Fourth Proportional to 13,114.46, 19,660.97 and 6,098.85

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Solution

The fourth proportional to 13,114.46, 19,660.97 and 6,098.85 is: 9,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.46 : 19,660.97 = 6,098.85 : x
  2. Step 2: Convert to fraction form
    13,114.46/19,660.97 = 6,098.85/x
  3. Step 3: Cross multiply
    13,114.46x = 19,660.97 × 6,098.85
  4. Step 4: Simplify right side
    13,114.46x = 119,909,322.13
  5. Step 5: Solve for x
    x = 119,909,322.13/13,114.46
  6. Step 6: Final answer
    x = 9,143.29

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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.