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Finding the Fourth Proportional to 15,843.22, 23,761.80 and 4,749.90

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Solution

The fourth proportional to 15,843.22, 23,761.80 and 4,749.90 is: 7,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.22 : 23,761.80 = 4,749.90 : x
  2. Step 2: Convert to fraction form
    15,843.22/23,761.80 = 4,749.90/x
  3. Step 3: Cross multiply
    15,843.22x = 23,761.80 × 4,749.90
  4. Step 4: Simplify right side
    15,843.22x = 112,866,173.82
  5. Step 5: Solve for x
    x = 112,866,173.82/15,843.22
  6. Step 6: Final answer
    x = 7,123.94

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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.