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Finding the Fourth Proportional to 18,562.98, 27,854.05 and 12,327.31

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Solution

The fourth proportional to 18,562.98, 27,854.05 and 12,327.31 is: 18,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562.98 : 27,854.05 = 12,327.31 : x
  2. Step 2: Convert to fraction form
    18,562.98/27,854.05 = 12,327.31/x
  3. Step 3: Cross multiply
    18,562.98x = 27,854.05 × 12,327.31
  4. Step 4: Simplify right side
    18,562.98x = 343,365,509.11
  5. Step 5: Solve for x
    x = 343,365,509.11/18,562.98
  6. Step 6: Final answer
    x = 18,497.33

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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.