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Finding the Fourth Proportional to 11,832.95, 16,324.34 and 7,114.50

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Solution

The fourth proportional to 11,832.95, 16,324.34 and 7,114.50 is: 9,814.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.95 : 16,324.34 = 7,114.50 : x
  2. Step 2: Convert to fraction form
    11,832.95/16,324.34 = 7,114.50/x
  3. Step 3: Cross multiply
    11,832.95x = 16,324.34 × 7,114.50
  4. Step 4: Simplify right side
    11,832.95x = 116,139,481.36
  5. Step 5: Solve for x
    x = 116,139,481.36/11,832.95
  6. Step 6: Final answer
    x = 9,814.92

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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.