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Finding the Fourth Proportional to 26,597.25, 39,896.00 and 7,877.63

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Solution

The fourth proportional to 26,597.25, 39,896.00 and 7,877.63 is: 11,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,597.25 : 39,896.00 = 7,877.63 : x
  2. Step 2: Convert to fraction form
    26,597.25/39,896.00 = 7,877.63/x
  3. Step 3: Cross multiply
    26,597.25x = 39,896.00 × 7,877.63
  4. Step 4: Simplify right side
    26,597.25x = 314,285,687.61
  5. Step 5: Solve for x
    x = 314,285,687.61/26,597.25
  6. Step 6: Final answer
    x = 11,816.47

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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.