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Finding the Fourth Proportional to 21,638.54, 32,472 and 7,598.21

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Solution

The fourth proportional to 21,638.54, 32,472 and 7,598.21 is: 11,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,638.54 : 32,472 = 7,598.21 : x
  2. Step 2: Convert to fraction form
    21,638.54/32,472 = 7,598.21/x
  3. Step 3: Cross multiply
    21,638.54x = 32,472 × 7,598.21
  4. Step 4: Simplify right side
    21,638.54x = 246,728,912.76
  5. Step 5: Solve for x
    x = 246,728,912.76/21,638.54
  6. Step 6: Final answer
    x = 11,402.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.