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Finding the Fourth Proportional to 22,608.82, 31,198.90 and 12,536.66

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Solution

The fourth proportional to 22,608.82, 31,198.90 and 12,536.66 is: 17,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.82 : 31,198.90 = 12,536.66 : x
  2. Step 2: Convert to fraction form
    22,608.82/31,198.90 = 12,536.66/x
  3. Step 3: Cross multiply
    22,608.82x = 31,198.90 × 12,536.66
  4. Step 4: Simplify right side
    22,608.82x = 391,130,001.67
  5. Step 5: Solve for x
    x = 391,130,001.67/22,608.82
  6. Step 6: Final answer
    x = 17,299.89

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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.