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Finding the Fourth Proportional to 12,524.73, 17,275.82 and 8,054.14

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Solution

The fourth proportional to 12,524.73, 17,275.82 and 8,054.14 is: 11,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.73 : 17,275.82 = 8,054.14 : x
  2. Step 2: Convert to fraction form
    12,524.73/17,275.82 = 8,054.14/x
  3. Step 3: Cross multiply
    12,524.73x = 17,275.82 × 8,054.14
  4. Step 4: Simplify right side
    12,524.73x = 139,141,893.07
  5. Step 5: Solve for x
    x = 139,141,893.07/12,524.73
  6. Step 6: Final answer
    x = 11,109.37

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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.