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Finding the Fourth Proportional to 14,863.71, 20,514 and 9,200.26

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Solution

The fourth proportional to 14,863.71, 20,514 and 9,200.26 is: 12,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,863.71 : 20,514 = 9,200.26 : x
  2. Step 2: Convert to fraction form
    14,863.71/20,514 = 9,200.26/x
  3. Step 3: Cross multiply
    14,863.71x = 20,514 × 9,200.26
  4. Step 4: Simplify right side
    14,863.71x = 188,734,133.64
  5. Step 5: Solve for x
    x = 188,734,133.64/14,863.71
  6. Step 6: Final answer
    x = 12,697.65

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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.