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Finding the Fourth Proportional to 15,921, 23,881.50 and 6,193

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Solution

The fourth proportional to 15,921, 23,881.50 and 6,193 is: 9,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921 : 23,881.50 = 6,193 : x
  2. Step 2: Convert to fraction form
    15,921/23,881.50 = 6,193/x
  3. Step 3: Cross multiply
    15,921x = 23,881.50 × 6,193
  4. Step 4: Simplify right side
    15,921x = 147,898,129.50
  5. Step 5: Solve for x
    x = 147,898,129.50/15,921
  6. Step 6: Final answer
    x = 9,289.50

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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.