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Finding the Fourth Proportional to 12,518.14, 17,268.06 and 8,036.86

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Solution

The fourth proportional to 12,518.14, 17,268.06 and 8,036.86 is: 11,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518.14 : 17,268.06 = 8,036.86 : x
  2. Step 2: Convert to fraction form
    12,518.14/17,268.06 = 8,036.86/x
  3. Step 3: Cross multiply
    12,518.14x = 17,268.06 × 8,036.86
  4. Step 4: Simplify right side
    12,518.14x = 138,780,980.69
  5. Step 5: Solve for x
    x = 138,780,980.69/12,518.14
  6. Step 6: Final answer
    x = 11,086.39

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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.