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Finding the Fourth Proportional to 21,858.92, 32,788.07 and 6,276.54

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Solution

The fourth proportional to 21,858.92, 32,788.07 and 6,276.54 is: 9,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.92 : 32,788.07 = 6,276.54 : x
  2. Step 2: Convert to fraction form
    21,858.92/32,788.07 = 6,276.54/x
  3. Step 3: Cross multiply
    21,858.92x = 32,788.07 × 6,276.54
  4. Step 4: Simplify right side
    21,858.92x = 205,795,632.88
  5. Step 5: Solve for x
    x = 205,795,632.88/21,858.92
  6. Step 6: Final answer
    x = 9,414.72

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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.