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Finding the Fourth Proportional to 20,809.56, 31,184.40 and 8,960.08

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Solution

The fourth proportional to 20,809.56, 31,184.40 and 8,960.08 is: 13,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.56 : 31,184.40 = 8,960.08 : x
  2. Step 2: Convert to fraction form
    20,809.56/31,184.40 = 8,960.08/x
  3. Step 3: Cross multiply
    20,809.56x = 31,184.40 × 8,960.08
  4. Step 4: Simplify right side
    20,809.56x = 279,414,718.75
  5. Step 5: Solve for x
    x = 279,414,718.75/20,809.56
  6. Step 6: Final answer
    x = 13,427.23

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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.