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Finding the Fourth Proportional to 14,686.52, 20,268.38 and 8,313.10

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Solution

The fourth proportional to 14,686.52, 20,268.38 and 8,313.10 is: 11,472.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.52 : 20,268.38 = 8,313.10 : x
  2. Step 2: Convert to fraction form
    14,686.52/20,268.38 = 8,313.10/x
  3. Step 3: Cross multiply
    14,686.52x = 20,268.38 × 8,313.10
  4. Step 4: Simplify right side
    14,686.52x = 168,493,069.78
  5. Step 5: Solve for x
    x = 168,493,069.78/14,686.52
  6. Step 6: Final answer
    x = 11,472.63

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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.