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Finding the Fourth Proportional to 19,638.72, 29,460 and 9,247.68

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Solution

The fourth proportional to 19,638.72, 29,460 and 9,247.68 is: 13,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.72 : 29,460 = 9,247.68 : x
  2. Step 2: Convert to fraction form
    19,638.72/29,460 = 9,247.68/x
  3. Step 3: Cross multiply
    19,638.72x = 29,460 × 9,247.68
  4. Step 4: Simplify right side
    19,638.72x = 272,436,652.80
  5. Step 5: Solve for x
    x = 272,436,652.80/19,638.72
  6. Step 6: Final answer
    x = 13,872.42

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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.