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Finding the Fourth Proportional to 26,476.84, 39,721 and 7,758.44

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Solution

The fourth proportional to 26,476.84, 39,721 and 7,758.44 is: 11,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476.84 : 39,721 = 7,758.44 : x
  2. Step 2: Convert to fraction form
    26,476.84/39,721 = 7,758.44/x
  3. Step 3: Cross multiply
    26,476.84x = 39,721 × 7,758.44
  4. Step 4: Simplify right side
    26,476.84x = 308,172,995.24
  5. Step 5: Solve for x
    x = 308,172,995.24/26,476.84
  6. Step 6: Final answer
    x = 11,639.34

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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.