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Finding the Fourth Proportional to 16,416.46, 24,614.97 and 6,560.38

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Solution

The fourth proportional to 16,416.46, 24,614.97 and 6,560.38 is: 9,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.46 : 24,614.97 = 6,560.38 : x
  2. Step 2: Convert to fraction form
    16,416.46/24,614.97 = 6,560.38/x
  3. Step 3: Cross multiply
    16,416.46x = 24,614.97 × 6,560.38
  4. Step 4: Simplify right side
    16,416.46x = 161,483,556.89
  5. Step 5: Solve for x
    x = 161,483,556.89/16,416.46
  6. Step 6: Final answer
    x = 9,836.69

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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.