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Finding the Fourth Proportional to 14,906.49, 22,369.98 and 6,141.39

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Solution

The fourth proportional to 14,906.49, 22,369.98 and 6,141.39 is: 9,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.49 : 22,369.98 = 6,141.39 : x
  2. Step 2: Convert to fraction form
    14,906.49/22,369.98 = 6,141.39/x
  3. Step 3: Cross multiply
    14,906.49x = 22,369.98 × 6,141.39
  4. Step 4: Simplify right side
    14,906.49x = 137,382,771.47
  5. Step 5: Solve for x
    x = 137,382,771.47/14,906.49
  6. Step 6: Final answer
    x = 9,216.31

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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.