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Finding the Fourth Proportional to 26,215, 39,328.98 and 7,747

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Solution

The fourth proportional to 26,215, 39,328.98 and 7,747 is: 11,622.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,215 : 39,328.98 = 7,747 : x
  2. Step 2: Convert to fraction form
    26,215/39,328.98 = 7,747/x
  3. Step 3: Cross multiply
    26,215x = 39,328.98 × 7,747
  4. Step 4: Simplify right side
    26,215x = 304,681,608.06
  5. Step 5: Solve for x
    x = 304,681,608.06/26,215
  6. Step 6: Final answer
    x = 11,622.41

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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.