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Finding the Fourth Proportional to 14,604.98, 21,906.24 and 6,284.66

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Solution

The fourth proportional to 14,604.98, 21,906.24 and 6,284.66 is: 9,426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.98 : 21,906.24 = 6,284.66 : x
  2. Step 2: Convert to fraction form
    14,604.98/21,906.24 = 6,284.66/x
  3. Step 3: Cross multiply
    14,604.98x = 21,906.24 × 6,284.66
  4. Step 4: Simplify right side
    14,604.98x = 137,673,270.28
  5. Step 5: Solve for x
    x = 137,673,270.28/14,604.98
  6. Step 6: Final answer
    x = 9,426.46

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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.