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Finding the Fourth Proportional to 12,536.94, 18,805.42 and 9,377.66

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Solution

The fourth proportional to 12,536.94, 18,805.42 and 9,377.66 is: 14,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.94 : 18,805.42 = 9,377.66 : x
  2. Step 2: Convert to fraction form
    12,536.94/18,805.42 = 9,377.66/x
  3. Step 3: Cross multiply
    12,536.94x = 18,805.42 × 9,377.66
  4. Step 4: Simplify right side
    12,536.94x = 176,350,735.12
  5. Step 5: Solve for x
    x = 176,350,735.12/12,536.94
  6. Step 6: Final answer
    x = 14,066.49

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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.