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Finding the Fourth Proportional to 12,664.66, 18,994.80 and 3,428.50

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Solution

The fourth proportional to 12,664.66, 18,994.80 and 3,428.50 is: 5,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,664.66 : 18,994.80 = 3,428.50 : x
  2. Step 2: Convert to fraction form
    12,664.66/18,994.80 = 3,428.50/x
  3. Step 3: Cross multiply
    12,664.66x = 18,994.80 × 3,428.50
  4. Step 4: Simplify right side
    12,664.66x = 65,123,671.80
  5. Step 5: Solve for x
    x = 65,123,671.80/12,664.66
  6. Step 6: Final answer
    x = 5,142.16

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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.