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Finding the Fourth Proportional to 23,101.38, 34,645.64 and 9,769.77

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Solution

The fourth proportional to 23,101.38, 34,645.64 and 9,769.77 is: 14,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,101.38 : 34,645.64 = 9,769.77 : x
  2. Step 2: Convert to fraction form
    23,101.38/34,645.64 = 9,769.77/x
  3. Step 3: Cross multiply
    23,101.38x = 34,645.64 × 9,769.77
  4. Step 4: Simplify right side
    23,101.38x = 338,479,885.45
  5. Step 5: Solve for x
    x = 338,479,885.45/23,101.38
  6. Step 6: Final answer
    x = 14,651.93

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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.