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Finding the Fourth Proportional to 21,284.58, 31,926.87 and 6,493.17

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Solution

The fourth proportional to 21,284.58, 31,926.87 and 6,493.17 is: 9,739.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,284.58 : 31,926.87 = 6,493.17 : x
  2. Step 2: Convert to fraction form
    21,284.58/31,926.87 = 6,493.17/x
  3. Step 3: Cross multiply
    21,284.58x = 31,926.87 × 6,493.17
  4. Step 4: Simplify right side
    21,284.58x = 207,306,594.48
  5. Step 5: Solve for x
    x = 207,306,594.48/21,284.58
  6. Step 6: Final answer
    x = 9,739.76

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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.