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Finding the Fourth Proportional to 18,261, 27,393.24 and 8,403.06

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Solution

The fourth proportional to 18,261, 27,393.24 and 8,403.06 is: 12,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261 : 27,393.24 = 8,403.06 : x
  2. Step 2: Convert to fraction form
    18,261/27,393.24 = 8,403.06/x
  3. Step 3: Cross multiply
    18,261x = 27,393.24 × 8,403.06
  4. Step 4: Simplify right side
    18,261x = 230,187,039.31
  5. Step 5: Solve for x
    x = 230,187,039.31/18,261
  6. Step 6: Final answer
    x = 12,605.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.