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Finding the Fourth Proportional to 12,652.96, 18,990.96 and 6,734.82

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Solution

The fourth proportional to 12,652.96, 18,990.96 and 6,734.82 is: 10,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.96 : 18,990.96 = 6,734.82 : x
  2. Step 2: Convert to fraction form
    12,652.96/18,990.96 = 6,734.82/x
  3. Step 3: Cross multiply
    12,652.96x = 18,990.96 × 6,734.82
  4. Step 4: Simplify right side
    12,652.96x = 127,900,649.75
  5. Step 5: Solve for x
    x = 127,900,649.75/12,652.96
  6. Step 6: Final answer
    x = 10,108.36

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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.