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Finding the Fourth Proportional to 21,638.72, 29,840.73 and 13,142.23

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Solution

The fourth proportional to 21,638.72, 29,840.73 and 13,142.23 is: 18,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.72 : 29,840.73 = 13,142.23 : x
  2. Step 2: Convert to fraction form
    21,638.72/29,840.73 = 13,142.23/x
  3. Step 3: Cross multiply
    21,638.72x = 29,840.73 × 13,142.23
  4. Step 4: Simplify right side
    21,638.72x = 392,173,737.03
  5. Step 5: Solve for x
    x = 392,173,737.03/21,638.72
  6. Step 6: Final answer
    x = 18,123.70

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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.