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Finding the Fourth Proportional to 22,405.71, 33,587.00 and 8,361.83

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Solution

The fourth proportional to 22,405.71, 33,587.00 and 8,361.83 is: 12,534.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.71 : 33,587.00 = 8,361.83 : x
  2. Step 2: Convert to fraction form
    22,405.71/33,587.00 = 8,361.83/x
  3. Step 3: Cross multiply
    22,405.71x = 33,587.00 × 8,361.83
  4. Step 4: Simplify right side
    22,405.71x = 280,848,904.76
  5. Step 5: Solve for x
    x = 280,848,904.76/22,405.71
  6. Step 6: Final answer
    x = 12,534.70

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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.