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Finding the Fourth Proportional to 22,512.32, 33,767.74 and 6,717.46

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Solution

The fourth proportional to 22,512.32, 33,767.74 and 6,717.46 is: 10,075.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,512.32 : 33,767.74 = 6,717.46 : x
  2. Step 2: Convert to fraction form
    22,512.32/33,767.74 = 6,717.46/x
  3. Step 3: Cross multiply
    22,512.32x = 33,767.74 × 6,717.46
  4. Step 4: Simplify right side
    22,512.32x = 226,833,442.74
  5. Step 5: Solve for x
    x = 226,833,442.74/22,512.32
  6. Step 6: Final answer
    x = 10,075.97

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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.