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Finding the Fourth Proportional to 20,956.68, 31,434.94 and 8,476.56

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Solution

The fourth proportional to 20,956.68, 31,434.94 and 8,476.56 is: 12,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,956.68 : 31,434.94 = 8,476.56 : x
  2. Step 2: Convert to fraction form
    20,956.68/31,434.94 = 8,476.56/x
  3. Step 3: Cross multiply
    20,956.68x = 31,434.94 × 8,476.56
  4. Step 4: Simplify right side
    20,956.68x = 266,460,155.01
  5. Step 5: Solve for x
    x = 266,460,155.01/20,956.68
  6. Step 6: Final answer
    x = 12,714.81

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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.