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Finding the Fourth Proportional to 20,935.57, 31,360.92 and 9,674.90

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Solution

The fourth proportional to 20,935.57, 31,360.92 and 9,674.90 is: 14,492.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,935.57 : 31,360.92 = 9,674.90 : x
  2. Step 2: Convert to fraction form
    20,935.57/31,360.92 = 9,674.90/x
  3. Step 3: Cross multiply
    20,935.57x = 31,360.92 × 9,674.90
  4. Step 4: Simplify right side
    20,935.57x = 303,413,608.10
  5. Step 5: Solve for x
    x = 303,413,608.10/20,935.57
  6. Step 6: Final answer
    x = 14,492.74

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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.