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Finding the Fourth Proportional to 21,187.31, 31,782.18 and 8,039.39

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Solution

The fourth proportional to 21,187.31, 31,782.18 and 8,039.39 is: 12,059.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,187.31 : 31,782.18 = 8,039.39 : x
  2. Step 2: Convert to fraction form
    21,187.31/31,782.18 = 8,039.39/x
  3. Step 3: Cross multiply
    21,187.31x = 31,782.18 × 8,039.39
  4. Step 4: Simplify right side
    21,187.31x = 255,509,340.07
  5. Step 5: Solve for x
    x = 255,509,340.07/21,187.31
  6. Step 6: Final answer
    x = 12,059.55

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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.