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Finding the Fourth Proportional to 22,556.16, 33,846.48 and 9,409.68

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Solution

The fourth proportional to 22,556.16, 33,846.48 and 9,409.68 is: 14,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,556.16 : 33,846.48 = 9,409.68 : x
  2. Step 2: Convert to fraction form
    22,556.16/33,846.48 = 9,409.68/x
  3. Step 3: Cross multiply
    22,556.16x = 33,846.48 × 9,409.68
  4. Step 4: Simplify right side
    22,556.16x = 318,484,545.93
  5. Step 5: Solve for x
    x = 318,484,545.93/22,556.16
  6. Step 6: Final answer
    x = 14,119.63

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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.