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Finding the Fourth Proportional to 22,480.96, 31,022.20 and 12,409.44

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Solution

The fourth proportional to 22,480.96, 31,022.20 and 12,409.44 is: 17,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,480.96 : 31,022.20 = 12,409.44 : x
  2. Step 2: Convert to fraction form
    22,480.96/31,022.20 = 12,409.44/x
  3. Step 3: Cross multiply
    22,480.96x = 31,022.20 × 12,409.44
  4. Step 4: Simplify right side
    22,480.96x = 384,968,129.57
  5. Step 5: Solve for x
    x = 384,968,129.57/22,480.96
  6. Step 6: Final answer
    x = 17,124.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.