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Finding the Fourth Proportional to 22,494.84, 33,762.81 and 11,409.18

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Solution

The fourth proportional to 22,494.84, 33,762.81 and 11,409.18 is: 17,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.84 : 33,762.81 = 11,409.18 : x
  2. Step 2: Convert to fraction form
    22,494.84/33,762.81 = 11,409.18/x
  3. Step 3: Cross multiply
    22,494.84x = 33,762.81 × 11,409.18
  4. Step 4: Simplify right side
    22,494.84x = 385,205,976.60
  5. Step 5: Solve for x
    x = 385,205,976.60/22,494.84
  6. Step 6: Final answer
    x = 17,124.19

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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.