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Finding the Fourth Proportional to 13,207.44, 19,803.60 and 5,412

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Solution

The fourth proportional to 13,207.44, 19,803.60 and 5,412 is: 8,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.44 : 19,803.60 = 5,412 : x
  2. Step 2: Convert to fraction form
    13,207.44/19,803.60 = 5,412/x
  3. Step 3: Cross multiply
    13,207.44x = 19,803.60 × 5,412
  4. Step 4: Simplify right side
    13,207.44x = 107,177,083.20
  5. Step 5: Solve for x
    x = 107,177,083.20/13,207.44
  6. Step 6: Final answer
    x = 8,114.90

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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.