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Finding the Fourth Proportional to 22,262.34, 33,405.81 and 12,407.17

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Solution

The fourth proportional to 22,262.34, 33,405.81 and 12,407.17 is: 18,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.34 : 33,405.81 = 12,407.17 : x
  2. Step 2: Convert to fraction form
    22,262.34/33,405.81 = 12,407.17/x
  3. Step 3: Cross multiply
    22,262.34x = 33,405.81 × 12,407.17
  4. Step 4: Simplify right side
    22,262.34x = 414,471,563.66
  5. Step 5: Solve for x
    x = 414,471,563.66/22,262.34
  6. Step 6: Final answer
    x = 18,617.61

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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.