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Finding the Fourth Proportional to 21,873.53, 32,811.31 and 7,083.61

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Solution

The fourth proportional to 21,873.53, 32,811.31 and 7,083.61 is: 10,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.53 : 32,811.31 = 7,083.61 : x
  2. Step 2: Convert to fraction form
    21,873.53/32,811.31 = 7,083.61/x
  3. Step 3: Cross multiply
    21,873.53x = 32,811.31 × 7,083.61
  4. Step 4: Simplify right side
    21,873.53x = 232,422,523.63
  5. Step 5: Solve for x
    x = 232,422,523.63/21,873.53
  6. Step 6: Final answer
    x = 10,625.74

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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.