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Finding the Fourth Proportional to 20,936.64, 31,407.02 and 7,785.92

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Solution

The fourth proportional to 20,936.64, 31,407.02 and 7,785.92 is: 11,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,936.64 : 31,407.02 = 7,785.92 : x
  2. Step 2: Convert to fraction form
    20,936.64/31,407.02 = 7,785.92/x
  3. Step 3: Cross multiply
    20,936.64x = 31,407.02 × 7,785.92
  4. Step 4: Simplify right side
    20,936.64x = 244,532,545.16
  5. Step 5: Solve for x
    x = 244,532,545.16/20,936.64
  6. Step 6: Final answer
    x = 11,679.65

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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.