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Finding the Fourth Proportional to 20,735.76, 31,102.32 and 8,889.50

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Solution

The fourth proportional to 20,735.76, 31,102.32 and 8,889.50 is: 13,333.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,735.76 : 31,102.32 = 8,889.50 : x
  2. Step 2: Convert to fraction form
    20,735.76/31,102.32 = 8,889.50/x
  3. Step 3: Cross multiply
    20,735.76x = 31,102.32 × 8,889.50
  4. Step 4: Simplify right side
    20,735.76x = 276,484,073.64
  5. Step 5: Solve for x
    x = 276,484,073.64/20,735.76
  6. Step 6: Final answer
    x = 13,333.68

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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.