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Finding the Fourth Proportional to 21,867.68, 32,801.52 and 6,285.26

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Solution

The fourth proportional to 21,867.68, 32,801.52 and 6,285.26 is: 9,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867.68 : 32,801.52 = 6,285.26 : x
  2. Step 2: Convert to fraction form
    21,867.68/32,801.52 = 6,285.26/x
  3. Step 3: Cross multiply
    21,867.68x = 32,801.52 × 6,285.26
  4. Step 4: Simplify right side
    21,867.68x = 206,166,081.60
  5. Step 5: Solve for x
    x = 206,166,081.60/21,867.68
  6. Step 6: Final answer
    x = 9,427.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.