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Finding the Fourth Proportional to 23,605.44, 32,571.38 and 14,174.22

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Solution

The fourth proportional to 23,605.44, 32,571.38 and 14,174.22 is: 19,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,605.44 : 32,571.38 = 14,174.22 : x
  2. Step 2: Convert to fraction form
    23,605.44/32,571.38 = 14,174.22/x
  3. Step 3: Cross multiply
    23,605.44x = 32,571.38 × 14,174.22
  4. Step 4: Simplify right side
    23,605.44x = 461,673,905.82
  5. Step 5: Solve for x
    x = 461,673,905.82/23,605.44
  6. Step 6: Final answer
    x = 19,557.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.