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Finding the Fourth Proportional to 16,512.18, 24,768.28 and 7,144.54

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Solution

The fourth proportional to 16,512.18, 24,768.28 and 7,144.54 is: 10,716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512.18 : 24,768.28 = 7,144.54 : x
  2. Step 2: Convert to fraction form
    16,512.18/24,768.28 = 7,144.54/x
  3. Step 3: Cross multiply
    16,512.18x = 24,768.28 × 7,144.54
  4. Step 4: Simplify right side
    16,512.18x = 176,957,967.19
  5. Step 5: Solve for x
    x = 176,957,967.19/16,512.18
  6. Step 6: Final answer
    x = 10,716.81

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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.