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Finding the Fourth Proportional to 14,131.14, 19,501.65 and 8,163.60

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Solution

The fourth proportional to 14,131.14, 19,501.65 and 8,163.60 is: 11,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.14 : 19,501.65 = 8,163.60 : x
  2. Step 2: Convert to fraction form
    14,131.14/19,501.65 = 8,163.60/x
  3. Step 3: Cross multiply
    14,131.14x = 19,501.65 × 8,163.60
  4. Step 4: Simplify right side
    14,131.14x = 159,203,669.94
  5. Step 5: Solve for x
    x = 159,203,669.94/14,131.14
  6. Step 6: Final answer
    x = 11,266.16

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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.