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Finding the Fourth Proportional to 19,754.70, 29,631.74 and 4,963.63

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Solution

The fourth proportional to 19,754.70, 29,631.74 and 4,963.63 is: 7,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.70 : 29,631.74 = 4,963.63 : x
  2. Step 2: Convert to fraction form
    19,754.70/29,631.74 = 4,963.63/x
  3. Step 3: Cross multiply
    19,754.70x = 29,631.74 × 4,963.63
  4. Step 4: Simplify right side
    19,754.70x = 147,080,978.20
  5. Step 5: Solve for x
    x = 147,080,978.20/19,754.70
  6. Step 6: Final answer
    x = 7,445.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.