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Finding the Fourth Proportional to 22,469.90, 31,008.23 and 12,398.54

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Solution

The fourth proportional to 22,469.90, 31,008.23 and 12,398.54 is: 17,109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469.90 : 31,008.23 = 12,398.54 : x
  2. Step 2: Convert to fraction form
    22,469.90/31,008.23 = 12,398.54/x
  3. Step 3: Cross multiply
    22,469.90x = 31,008.23 × 12,398.54
  4. Step 4: Simplify right side
    22,469.90x = 384,456,810.98
  5. Step 5: Solve for x
    x = 384,456,810.98/22,469.90
  6. Step 6: Final answer
    x = 17,109.86

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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.