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Finding the Fourth Proportional to 21,485.25, 32,229.70 and 5,902.88

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Solution

The fourth proportional to 21,485.25, 32,229.70 and 5,902.88 is: 8,854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.25 : 32,229.70 = 5,902.88 : x
  2. Step 2: Convert to fraction form
    21,485.25/32,229.70 = 5,902.88/x
  3. Step 3: Cross multiply
    21,485.25x = 32,229.70 × 5,902.88
  4. Step 4: Simplify right side
    21,485.25x = 190,247,875.63
  5. Step 5: Solve for x
    x = 190,247,875.63/21,485.25
  6. Step 6: Final answer
    x = 8,854.81

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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.