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Finding the Fourth Proportional to 15,847.82, 23,749.04 and 8,907.74

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Solution

The fourth proportional to 15,847.82, 23,749.04 and 8,907.74 is: 13,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,847.82 : 23,749.04 = 8,907.74 : x
  2. Step 2: Convert to fraction form
    15,847.82/23,749.04 = 8,907.74/x
  3. Step 3: Cross multiply
    15,847.82x = 23,749.04 × 8,907.74
  4. Step 4: Simplify right side
    15,847.82x = 211,550,273.57
  5. Step 5: Solve for x
    x = 211,550,273.57/15,847.82
  6. Step 6: Final answer
    x = 13,348.86

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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.