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Finding the Fourth Proportional to 23,163.66, 31,930.47 and 14,194.53

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Solution

The fourth proportional to 23,163.66, 31,930.47 and 14,194.53 is: 19,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.66 : 31,930.47 = 14,194.53 : x
  2. Step 2: Convert to fraction form
    23,163.66/31,930.47 = 14,194.53/x
  3. Step 3: Cross multiply
    23,163.66x = 31,930.47 × 14,194.53
  4. Step 4: Simplify right side
    23,163.66x = 453,238,014.33
  5. Step 5: Solve for x
    x = 453,238,014.33/23,163.66
  6. Step 6: Final answer
    x = 19,566.77

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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.