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Finding the Fourth Proportional to 22,638.88, 31,235.31 and 14,149.63

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Solution

The fourth proportional to 22,638.88, 31,235.31 and 14,149.63 is: 19,522.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,638.88 : 31,235.31 = 14,149.63 : x
  2. Step 2: Convert to fraction form
    22,638.88/31,235.31 = 14,149.63/x
  3. Step 3: Cross multiply
    22,638.88x = 31,235.31 × 14,149.63
  4. Step 4: Simplify right side
    22,638.88x = 441,968,079.44
  5. Step 5: Solve for x
    x = 441,968,079.44/22,638.88
  6. Step 6: Final answer
    x = 19,522.52

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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.