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Finding the Fourth Proportional to 26,185.97, 36,135.81 and 14,249

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Solution

The fourth proportional to 26,185.97, 36,135.81 and 14,249 is: 19,663.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,185.97 : 36,135.81 = 14,249 : x
  2. Step 2: Convert to fraction form
    26,185.97/36,135.81 = 14,249/x
  3. Step 3: Cross multiply
    26,185.97x = 36,135.81 × 14,249
  4. Step 4: Simplify right side
    26,185.97x = 514,899,156.69
  5. Step 5: Solve for x
    x = 514,899,156.69/26,185.97
  6. Step 6: Final answer
    x = 19,663.17

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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.