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Finding the Fourth Proportional to 20,836.88, 31,268.08 and 8,355.58

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Solution

The fourth proportional to 20,836.88, 31,268.08 and 8,355.58 is: 12,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836.88 : 31,268.08 = 8,355.58 : x
  2. Step 2: Convert to fraction form
    20,836.88/31,268.08 = 8,355.58/x
  3. Step 3: Cross multiply
    20,836.88x = 31,268.08 × 8,355.58
  4. Step 4: Simplify right side
    20,836.88x = 261,262,943.89
  5. Step 5: Solve for x
    x = 261,262,943.89/20,836.88
  6. Step 6: Final answer
    x = 12,538.49

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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.