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Finding the Fourth Proportional to 22,282.19, 33,437.86 and 8,431.19

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Solution

The fourth proportional to 22,282.19, 33,437.86 and 8,431.19 is: 12,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.19 : 33,437.86 = 8,431.19 : x
  2. Step 2: Convert to fraction form
    22,282.19/33,437.86 = 8,431.19/x
  3. Step 3: Cross multiply
    22,282.19x = 33,437.86 × 8,431.19
  4. Step 4: Simplify right side
    22,282.19x = 281,920,950.85
  5. Step 5: Solve for x
    x = 281,920,950.85/22,282.19
  6. Step 6: Final answer
    x = 12,652.30

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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.