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Finding the Fourth Proportional to 12,474.54, 18,720.72 and 9,196.20

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Solution

The fourth proportional to 12,474.54, 18,720.72 and 9,196.20 is: 13,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.54 : 18,720.72 = 9,196.20 : x
  2. Step 2: Convert to fraction form
    12,474.54/18,720.72 = 9,196.20/x
  3. Step 3: Cross multiply
    12,474.54x = 18,720.72 × 9,196.20
  4. Step 4: Simplify right side
    12,474.54x = 172,159,485.26
  5. Step 5: Solve for x
    x = 172,159,485.26/12,474.54
  6. Step 6: Final answer
    x = 13,800.87

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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.