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Finding the Fourth Proportional to 12,537.17, 18,791.17 and 12,398.66

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Solution

The fourth proportional to 12,537.17, 18,791.17 and 12,398.66 is: 18,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.17 : 18,791.17 = 12,398.66 : x
  2. Step 2: Convert to fraction form
    12,537.17/18,791.17 = 12,398.66/x
  3. Step 3: Cross multiply
    12,537.17x = 18,791.17 × 12,398.66
  4. Step 4: Simplify right side
    12,537.17x = 232,985,327.83
  5. Step 5: Solve for x
    x = 232,985,327.83/12,537.17
  6. Step 6: Final answer
    x = 18,583.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.