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Finding the Fourth Proportional to 22,441.32, 33,665.67 and 8,406.18

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Solution

The fourth proportional to 22,441.32, 33,665.67 and 8,406.18 is: 12,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,441.32 : 33,665.67 = 8,406.18 : x
  2. Step 2: Convert to fraction form
    22,441.32/33,665.67 = 8,406.18/x
  3. Step 3: Cross multiply
    22,441.32x = 33,665.67 × 8,406.18
  4. Step 4: Simplify right side
    22,441.32x = 282,999,681.84
  5. Step 5: Solve for x
    x = 282,999,681.84/22,441.32
  6. Step 6: Final answer
    x = 12,610.65

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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.