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Finding the Fourth Proportional to 12,986.64, 17,923.20 and 8,514.12

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Solution

The fourth proportional to 12,986.64, 17,923.20 and 8,514.12 is: 11,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.64 : 17,923.20 = 8,514.12 : x
  2. Step 2: Convert to fraction form
    12,986.64/17,923.20 = 8,514.12/x
  3. Step 3: Cross multiply
    12,986.64x = 17,923.20 × 8,514.12
  4. Step 4: Simplify right side
    12,986.64x = 152,600,275.58
  5. Step 5: Solve for x
    x = 152,600,275.58/12,986.64
  6. Step 6: Final answer
    x = 11,750.56

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