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Finding the Fourth Proportional to 12,305.98, 16,989.15 and 8,121.52

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Solution

The fourth proportional to 12,305.98, 16,989.15 and 8,121.52 is: 11,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,305.98 : 16,989.15 = 8,121.52 : x
  2. Step 2: Convert to fraction form
    12,305.98/16,989.15 = 8,121.52/x
  3. Step 3: Cross multiply
    12,305.98x = 16,989.15 × 8,121.52
  4. Step 4: Simplify right side
    12,305.98x = 137,977,721.51
  5. Step 5: Solve for x
    x = 137,977,721.51/12,305.98
  6. Step 6: Final answer
    x = 11,212.25

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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.