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Finding the Fourth Proportional to 13,224.62, 19,840.27 and 6,105.43

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Solution

The fourth proportional to 13,224.62, 19,840.27 and 6,105.43 is: 9,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.62 : 19,840.27 = 6,105.43 : x
  2. Step 2: Convert to fraction form
    13,224.62/19,840.27 = 6,105.43/x
  3. Step 3: Cross multiply
    13,224.62x = 19,840.27 × 6,105.43
  4. Step 4: Simplify right side
    13,224.62x = 121,133,379.67
  5. Step 5: Solve for x
    x = 121,133,379.67/13,224.62
  6. Step 6: Final answer
    x = 9,159.69

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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.