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Finding the Fourth Proportional to 26,218, 39,333.48 and 7,750

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Solution

The fourth proportional to 26,218, 39,333.48 and 7,750 is: 11,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,218 : 39,333.48 = 7,750 : x
  2. Step 2: Convert to fraction form
    26,218/39,333.48 = 7,750/x
  3. Step 3: Cross multiply
    26,218x = 39,333.48 × 7,750
  4. Step 4: Simplify right side
    26,218x = 304,834,470
  5. Step 5: Solve for x
    x = 304,834,470/26,218
  6. Step 6: Final answer
    x = 11,626.92

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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.