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Finding the Fourth Proportional to 12,493.09, 17,242.22 and 8,029.58

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Solution

The fourth proportional to 12,493.09, 17,242.22 and 8,029.58 is: 11,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.09 : 17,242.22 = 8,029.58 : x
  2. Step 2: Convert to fraction form
    12,493.09/17,242.22 = 8,029.58/x
  3. Step 3: Cross multiply
    12,493.09x = 17,242.22 × 8,029.58
  4. Step 4: Simplify right side
    12,493.09x = 138,447,784.87
  5. Step 5: Solve for x
    x = 138,447,784.87/12,493.09
  6. Step 6: Final answer
    x = 11,081.95

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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.