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Finding the Fourth Proportional to 23,773.12, 35,649.14 and 12,677.74

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Solution

The fourth proportional to 23,773.12, 35,649.14 and 12,677.74 is: 19,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.12 : 35,649.14 = 12,677.74 : x
  2. Step 2: Convert to fraction form
    23,773.12/35,649.14 = 12,677.74/x
  3. Step 3: Cross multiply
    23,773.12x = 35,649.14 × 12,677.74
  4. Step 4: Simplify right side
    23,773.12x = 451,950,528.14
  5. Step 5: Solve for x
    x = 451,950,528.14/23,773.12
  6. Step 6: Final answer
    x = 19,010.99

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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.