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Finding the Fourth Proportional to 20,206.77, 30,296.06 and 8,956.00

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Solution

The fourth proportional to 20,206.77, 30,296.06 and 8,956.00 is: 13,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.77 : 30,296.06 = 8,956.00 : x
  2. Step 2: Convert to fraction form
    20,206.77/30,296.06 = 8,956.00/x
  3. Step 3: Cross multiply
    20,206.77x = 30,296.06 × 8,956.00
  4. Step 4: Simplify right side
    20,206.77x = 271,331,540.04
  5. Step 5: Solve for x
    x = 271,331,540.04/20,206.77
  6. Step 6: Final answer
    x = 13,427.76

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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.