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Finding the Fourth Proportional to 14,963.82, 22,433.49 and 6,193.98

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Solution

The fourth proportional to 14,963.82, 22,433.49 and 6,193.98 is: 9,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,963.82 : 22,433.49 = 6,193.98 : x
  2. Step 2: Convert to fraction form
    14,963.82/22,433.49 = 6,193.98/x
  3. Step 3: Cross multiply
    14,963.82x = 22,433.49 × 6,193.98
  4. Step 4: Simplify right side
    14,963.82x = 138,952,588.39
  5. Step 5: Solve for x
    x = 138,952,588.39/14,963.82
  6. Step 6: Final answer
    x = 9,285.90

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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.