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Finding the Fourth Proportional to 11,420.32, 17,129.44 and 8,102.80

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Solution

The fourth proportional to 11,420.32, 17,129.44 and 8,102.80 is: 12,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.32 : 17,129.44 = 8,102.80 : x
  2. Step 2: Convert to fraction form
    11,420.32/17,129.44 = 8,102.80/x
  3. Step 3: Cross multiply
    11,420.32x = 17,129.44 × 8,102.80
  4. Step 4: Simplify right side
    11,420.32x = 138,796,426.43
  5. Step 5: Solve for x
    x = 138,796,426.43/11,420.32
  6. Step 6: Final answer
    x = 12,153.46

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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.