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Finding the Fourth Proportional to 20,916.46, 31,365.48 and 9,826.30

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Solution

The fourth proportional to 20,916.46, 31,365.48 and 9,826.30 is: 14,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.46 : 31,365.48 = 9,826.30 : x
  2. Step 2: Convert to fraction form
    20,916.46/31,365.48 = 9,826.30/x
  3. Step 3: Cross multiply
    20,916.46x = 31,365.48 × 9,826.30
  4. Step 4: Simplify right side
    20,916.46x = 308,206,616.12
  5. Step 5: Solve for x
    x = 308,206,616.12/20,916.46
  6. Step 6: Final answer
    x = 14,735.12

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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.