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Finding the Fourth Proportional to 12,140.50, 16,745.16 and 8,562.82

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Solution

The fourth proportional to 12,140.50, 16,745.16 and 8,562.82 is: 11,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.50 : 16,745.16 = 8,562.82 : x
  2. Step 2: Convert to fraction form
    12,140.50/16,745.16 = 8,562.82/x
  3. Step 3: Cross multiply
    12,140.50x = 16,745.16 × 8,562.82
  4. Step 4: Simplify right side
    12,140.50x = 143,385,790.95
  5. Step 5: Solve for x
    x = 143,385,790.95/12,140.50
  6. Step 6: Final answer
    x = 11,810.53

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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.