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Finding the Fourth Proportional to 21,858.54, 32,788.02 and 6,276.18

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Solution

The fourth proportional to 21,858.54, 32,788.02 and 6,276.18 is: 9,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.54 : 32,788.02 = 6,276.18 : x
  2. Step 2: Convert to fraction form
    21,858.54/32,788.02 = 6,276.18/x
  3. Step 3: Cross multiply
    21,858.54x = 32,788.02 × 6,276.18
  4. Step 4: Simplify right side
    21,858.54x = 205,783,515.36
  5. Step 5: Solve for x
    x = 205,783,515.36/21,858.54
  6. Step 6: Final answer
    x = 9,414.33

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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.