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Finding the Fourth Proportional to 12,187.36, 16,825.81 and 7,714.95

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Solution

The fourth proportional to 12,187.36, 16,825.81 and 7,714.95 is: 10,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.36 : 16,825.81 = 7,714.95 : x
  2. Step 2: Convert to fraction form
    12,187.36/16,825.81 = 7,714.95/x
  3. Step 3: Cross multiply
    12,187.36x = 16,825.81 × 7,714.95
  4. Step 4: Simplify right side
    12,187.36x = 129,810,214.94
  5. Step 5: Solve for x
    x = 129,810,214.94/12,187.36
  6. Step 6: Final answer
    x = 10,651.22

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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.