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Finding the Fourth Proportional to 22,432.62, 33,653.88 and 6,851.46

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Solution

The fourth proportional to 22,432.62, 33,653.88 and 6,851.46 is: 10,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432.62 : 33,653.88 = 6,851.46 : x
  2. Step 2: Convert to fraction form
    22,432.62/33,653.88 = 6,851.46/x
  3. Step 3: Cross multiply
    22,432.62x = 33,653.88 × 6,851.46
  4. Step 4: Simplify right side
    22,432.62x = 230,578,212.66
  5. Step 5: Solve for x
    x = 230,578,212.66/22,432.62
  6. Step 6: Final answer
    x = 10,278.70

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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.