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Finding the Fourth Proportional to 21,232.80, 31,837.20 and 8,085.60

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Solution

The fourth proportional to 21,232.80, 31,837.20 and 8,085.60 is: 12,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232.80 : 31,837.20 = 8,085.60 : x
  2. Step 2: Convert to fraction form
    21,232.80/31,837.20 = 8,085.60/x
  3. Step 3: Cross multiply
    21,232.80x = 31,837.20 × 8,085.60
  4. Step 4: Simplify right side
    21,232.80x = 257,422,864.32
  5. Step 5: Solve for x
    x = 257,422,864.32/21,232.80
  6. Step 6: Final answer
    x = 12,123.83

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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.