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Finding the Fourth Proportional to 15,114.16, 20,857.52 and 8,399.57

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Solution

The fourth proportional to 15,114.16, 20,857.52 and 8,399.57 is: 11,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.16 : 20,857.52 = 8,399.57 : x
  2. Step 2: Convert to fraction form
    15,114.16/20,857.52 = 8,399.57/x
  3. Step 3: Cross multiply
    15,114.16x = 20,857.52 × 8,399.57
  4. Step 4: Simplify right side
    15,114.16x = 175,194,157.27
  5. Step 5: Solve for x
    x = 175,194,157.27/15,114.16
  6. Step 6: Final answer
    x = 11,591.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.