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Finding the Fourth Proportional to 12,137.86, 16,750.13 and 6,832.56

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Solution

The fourth proportional to 12,137.86, 16,750.13 and 6,832.56 is: 9,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.86 : 16,750.13 = 6,832.56 : x
  2. Step 2: Convert to fraction form
    12,137.86/16,750.13 = 6,832.56/x
  3. Step 3: Cross multiply
    12,137.86x = 16,750.13 × 6,832.56
  4. Step 4: Simplify right side
    12,137.86x = 114,446,268.23
  5. Step 5: Solve for x
    x = 114,446,268.23/12,137.86
  6. Step 6: Final answer
    x = 9,428.87

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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.