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Finding the Fourth Proportional to 12,014.95, 16,567.89 and 8,243.62

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Solution

The fourth proportional to 12,014.95, 16,567.89 and 8,243.62 is: 11,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.95 : 16,567.89 = 8,243.62 : x
  2. Step 2: Convert to fraction form
    12,014.95/16,567.89 = 8,243.62/x
  3. Step 3: Cross multiply
    12,014.95x = 16,567.89 × 8,243.62
  4. Step 4: Simplify right side
    12,014.95x = 136,579,456.59
  5. Step 5: Solve for x
    x = 136,579,456.59/12,014.95
  6. Step 6: Final answer
    x = 11,367.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.