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Finding the Fourth Proportional to 20,533.50, 30,802.68 and 6,682.50

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Solution

The fourth proportional to 20,533.50, 30,802.68 and 6,682.50 is: 10,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.50 : 30,802.68 = 6,682.50 : x
  2. Step 2: Convert to fraction form
    20,533.50/30,802.68 = 6,682.50/x
  3. Step 3: Cross multiply
    20,533.50x = 30,802.68 × 6,682.50
  4. Step 4: Simplify right side
    20,533.50x = 205,838,909.10
  5. Step 5: Solve for x
    x = 205,838,909.10/20,533.50
  6. Step 6: Final answer
    x = 10,024.54

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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.