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Finding the Fourth Proportional to 21,845.77, 32,768.74 and 6,648.48

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Solution

The fourth proportional to 21,845.77, 32,768.74 and 6,648.48 is: 9,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845.77 : 32,768.74 = 6,648.48 : x
  2. Step 2: Convert to fraction form
    21,845.77/32,768.74 = 6,648.48/x
  3. Step 3: Cross multiply
    21,845.77x = 32,768.74 × 6,648.48
  4. Step 4: Simplify right side
    21,845.77x = 217,862,279.27
  5. Step 5: Solve for x
    x = 217,862,279.27/21,845.77
  6. Step 6: Final answer
    x = 9,972.75

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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.