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Finding the Fourth Proportional to 13,168.85, 19,753.28 and 6,146.53

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Solution

The fourth proportional to 13,168.85, 19,753.28 and 6,146.53 is: 9,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168.85 : 19,753.28 = 6,146.53 : x
  2. Step 2: Convert to fraction form
    13,168.85/19,753.28 = 6,146.53/x
  3. Step 3: Cross multiply
    13,168.85x = 19,753.28 × 6,146.53
  4. Step 4: Simplify right side
    13,168.85x = 121,414,048.00
  5. Step 5: Solve for x
    x = 121,414,048.00/13,168.85
  6. Step 6: Final answer
    x = 9,219.79

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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.