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Finding the Fourth Proportional to 12,131.72, 16,742.94 and 7,420.76

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Solution

The fourth proportional to 12,131.72, 16,742.94 and 7,420.76 is: 10,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.72 : 16,742.94 = 7,420.76 : x
  2. Step 2: Convert to fraction form
    12,131.72/16,742.94 = 7,420.76/x
  3. Step 3: Cross multiply
    12,131.72x = 16,742.94 × 7,420.76
  4. Step 4: Simplify right side
    12,131.72x = 124,245,339.43
  5. Step 5: Solve for x
    x = 124,245,339.43/12,131.72
  6. Step 6: Final answer
    x = 10,241.36

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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.