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Finding the Fourth Proportional to 13,204.15, 19,792.22 and 6,178.24

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Solution

The fourth proportional to 13,204.15, 19,792.22 and 6,178.24 is: 9,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.15 : 19,792.22 = 6,178.24 : x
  2. Step 2: Convert to fraction form
    13,204.15/19,792.22 = 6,178.24/x
  3. Step 3: Cross multiply
    13,204.15x = 19,792.22 × 6,178.24
  4. Step 4: Simplify right side
    13,204.15x = 122,281,079.14
  5. Step 5: Solve for x
    x = 122,281,079.14/13,204.15
  6. Step 6: Final answer
    x = 9,260.81

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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.