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Finding the Fourth Proportional to 20,652.50, 30,978.76 and 6,802.58

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Solution

The fourth proportional to 20,652.50, 30,978.76 and 6,802.58 is: 10,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.50 : 30,978.76 = 6,802.58 : x
  2. Step 2: Convert to fraction form
    20,652.50/30,978.76 = 6,802.58/x
  3. Step 3: Cross multiply
    20,652.50x = 30,978.76 × 6,802.58
  4. Step 4: Simplify right side
    20,652.50x = 210,735,493.20
  5. Step 5: Solve for x
    x = 210,735,493.20/20,652.50
  6. Step 6: Final answer
    x = 10,203.87

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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.