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Finding the Fourth Proportional to 21,891.72, 30,211.74 and 12,463.32

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Solution

The fourth proportional to 21,891.72, 30,211.74 and 12,463.32 is: 17,200.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.72 : 30,211.74 = 12,463.32 : x
  2. Step 2: Convert to fraction form
    21,891.72/30,211.74 = 12,463.32/x
  3. Step 3: Cross multiply
    21,891.72x = 30,211.74 × 12,463.32
  4. Step 4: Simplify right side
    21,891.72x = 376,538,583.38
  5. Step 5: Solve for x
    x = 376,538,583.38/21,891.72
  6. Step 6: Final answer
    x = 17,200.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.