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Finding the Fourth Proportional to 20,946.83, 31,402.53 and 9,091.69

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Solution

The fourth proportional to 20,946.83, 31,402.53 and 9,091.69 is: 13,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946.83 : 31,402.53 = 9,091.69 : x
  2. Step 2: Convert to fraction form
    20,946.83/31,402.53 = 9,091.69/x
  3. Step 3: Cross multiply
    20,946.83x = 31,402.53 × 9,091.69
  4. Step 4: Simplify right side
    20,946.83x = 285,502,134.73
  5. Step 5: Solve for x
    x = 285,502,134.73/20,946.83
  6. Step 6: Final answer
    x = 13,629.85

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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.