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Finding the Fourth Proportional to 22,577.30, 33,872.79 and 8,541.63

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Solution

The fourth proportional to 22,577.30, 33,872.79 and 8,541.63 is: 12,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.30 : 33,872.79 = 8,541.63 : x
  2. Step 2: Convert to fraction form
    22,577.30/33,872.79 = 8,541.63/x
  3. Step 3: Cross multiply
    22,577.30x = 33,872.79 × 8,541.63
  4. Step 4: Simplify right side
    22,577.30x = 289,328,814.12
  5. Step 5: Solve for x
    x = 289,328,814.12/22,577.30
  6. Step 6: Final answer
    x = 12,815.03

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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.