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Finding the Fourth Proportional to 20,891.10, 31,331.76 and 9,787.22

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Solution

The fourth proportional to 20,891.10, 31,331.76 and 9,787.22 is: 14,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,891.10 : 31,331.76 = 9,787.22 : x
  2. Step 2: Convert to fraction form
    20,891.10/31,331.76 = 9,787.22/x
  3. Step 3: Cross multiply
    20,891.10x = 31,331.76 × 9,787.22
  4. Step 4: Simplify right side
    20,891.10x = 306,650,828.11
  5. Step 5: Solve for x
    x = 306,650,828.11/20,891.10
  6. Step 6: Final answer
    x = 14,678.54

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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.