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Finding the Fourth Proportional to 23,174.42, 31,978.31 and 14,222.30

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Solution

The fourth proportional to 23,174.42, 31,978.31 and 14,222.30 is: 19,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.42 : 31,978.31 = 14,222.30 : x
  2. Step 2: Convert to fraction form
    23,174.42/31,978.31 = 14,222.30/x
  3. Step 3: Cross multiply
    23,174.42x = 31,978.31 × 14,222.30
  4. Step 4: Simplify right side
    23,174.42x = 454,804,887.31
  5. Step 5: Solve for x
    x = 454,804,887.31/23,174.42
  6. Step 6: Final answer
    x = 19,625.30

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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.