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Finding the Fourth Proportional to 12,563.74, 17,334.40 and 8,090.08

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Solution

The fourth proportional to 12,563.74, 17,334.40 and 8,090.08 is: 11,162.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.74 : 17,334.40 = 8,090.08 : x
  2. Step 2: Convert to fraction form
    12,563.74/17,334.40 = 8,090.08/x
  3. Step 3: Cross multiply
    12,563.74x = 17,334.40 × 8,090.08
  4. Step 4: Simplify right side
    12,563.74x = 140,236,682.75
  5. Step 5: Solve for x
    x = 140,236,682.75/12,563.74
  6. Step 6: Final answer
    x = 11,162.02

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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.