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Finding the Fourth Proportional to 13,523.84, 20,285.99 and 10,752.42

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Solution

The fourth proportional to 13,523.84, 20,285.99 and 10,752.42 is: 16,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.84 : 20,285.99 = 10,752.42 : x
  2. Step 2: Convert to fraction form
    13,523.84/20,285.99 = 10,752.42/x
  3. Step 3: Cross multiply
    13,523.84x = 20,285.99 × 10,752.42
  4. Step 4: Simplify right side
    13,523.84x = 218,123,484.60
  5. Step 5: Solve for x
    x = 218,123,484.60/13,523.84
  6. Step 6: Final answer
    x = 16,128.81

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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.