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Finding the Fourth Proportional to 13,424.67, 20,133.95 and 5,105.61

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Solution

The fourth proportional to 13,424.67, 20,133.95 and 5,105.61 is: 7,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.67 : 20,133.95 = 5,105.61 : x
  2. Step 2: Convert to fraction form
    13,424.67/20,133.95 = 5,105.61/x
  3. Step 3: Cross multiply
    13,424.67x = 20,133.95 × 5,105.61
  4. Step 4: Simplify right side
    13,424.67x = 102,796,070.93
  5. Step 5: Solve for x
    x = 102,796,070.93/13,424.67
  6. Step 6: Final answer
    x = 7,657.25

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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.