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Finding the Fourth Proportional to 12,137.26, 16,749.06 and 6,832.36

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Solution

The fourth proportional to 12,137.26, 16,749.06 and 6,832.36 is: 9,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.26 : 16,749.06 = 6,832.36 : x
  2. Step 2: Convert to fraction form
    12,137.26/16,749.06 = 6,832.36/x
  3. Step 3: Cross multiply
    12,137.26x = 16,749.06 × 6,832.36
  4. Step 4: Simplify right side
    12,137.26x = 114,435,607.58
  5. Step 5: Solve for x
    x = 114,435,607.58/12,137.26
  6. Step 6: Final answer
    x = 9,428.45

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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.