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Finding the Fourth Proportional to 12,435.87, 18,657.21 and 3,670.78

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Solution

The fourth proportional to 12,435.87, 18,657.21 and 3,670.78 is: 5,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.87 : 18,657.21 = 3,670.78 : x
  2. Step 2: Convert to fraction form
    12,435.87/18,657.21 = 3,670.78/x
  3. Step 3: Cross multiply
    12,435.87x = 18,657.21 × 3,670.78
  4. Step 4: Simplify right side
    12,435.87x = 68,486,429.59
  5. Step 5: Solve for x
    x = 68,486,429.59/12,435.87
  6. Step 6: Final answer
    x = 5,507.17

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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.