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Finding the Fourth Proportional to 16,916.42, 25,381.92 and 7,057.64

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Solution

The fourth proportional to 16,916.42, 25,381.92 and 7,057.64 is: 10,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,916.42 : 25,381.92 = 7,057.64 : x
  2. Step 2: Convert to fraction form
    16,916.42/25,381.92 = 7,057.64/x
  3. Step 3: Cross multiply
    16,916.42x = 25,381.92 × 7,057.64
  4. Step 4: Simplify right side
    16,916.42x = 179,136,453.87
  5. Step 5: Solve for x
    x = 179,136,453.87/16,916.42
  6. Step 6: Final answer
    x = 10,589.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.