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Finding the Fourth Proportional to 22,950.63, 34,415.56 and 8,159.94

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Solution

The fourth proportional to 22,950.63, 34,415.56 and 8,159.94 is: 12,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950.63 : 34,415.56 = 8,159.94 : x
  2. Step 2: Convert to fraction form
    22,950.63/34,415.56 = 8,159.94/x
  3. Step 3: Cross multiply
    22,950.63x = 34,415.56 × 8,159.94
  4. Step 4: Simplify right side
    22,950.63x = 280,828,891.92
  5. Step 5: Solve for x
    x = 280,828,891.92/22,950.63
  6. Step 6: Final answer
    x = 12,236.22

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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.