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Finding the Fourth Proportional to 21,074.70, 31,616.64 and 6,284.82

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Solution

The fourth proportional to 21,074.70, 31,616.64 and 6,284.82 is: 9,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,074.70 : 31,616.64 = 6,284.82 : x
  2. Step 2: Convert to fraction form
    21,074.70/31,616.64 = 6,284.82/x
  3. Step 3: Cross multiply
    21,074.70x = 31,616.64 × 6,284.82
  4. Step 4: Simplify right side
    21,074.70x = 198,704,891.40
  5. Step 5: Solve for x
    x = 198,704,891.40/21,074.70
  6. Step 6: Final answer
    x = 9,428.60

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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.