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Finding the Fourth Proportional to 12,514.58, 17,250.26 and 9,857.78

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Solution

The fourth proportional to 12,514.58, 17,250.26 and 9,857.78 is: 13,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.58 : 17,250.26 = 9,857.78 : x
  2. Step 2: Convert to fraction form
    12,514.58/17,250.26 = 9,857.78/x
  3. Step 3: Cross multiply
    12,514.58x = 17,250.26 × 9,857.78
  4. Step 4: Simplify right side
    12,514.58x = 170,049,268.02
  5. Step 5: Solve for x
    x = 170,049,268.02/12,514.58
  6. Step 6: Final answer
    x = 13,588.09

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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.