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Finding the Fourth Proportional to 16,526.96, 24,768.56 and 12,123.80

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Solution

The fourth proportional to 16,526.96, 24,768.56 and 12,123.80 is: 18,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,526.96 : 24,768.56 = 12,123.80 : x
  2. Step 2: Convert to fraction form
    16,526.96/24,768.56 = 12,123.80/x
  3. Step 3: Cross multiply
    16,526.96x = 24,768.56 × 12,123.80
  4. Step 4: Simplify right side
    16,526.96x = 300,289,067.73
  5. Step 5: Solve for x
    x = 300,289,067.73/16,526.96
  6. Step 6: Final answer
    x = 18,169.65

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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.