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Finding the Fourth Proportional to 12,685.36, 19,027.68 and 5,671.84

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Solution

The fourth proportional to 12,685.36, 19,027.68 and 5,671.84 is: 8,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.36 : 19,027.68 = 5,671.84 : x
  2. Step 2: Convert to fraction form
    12,685.36/19,027.68 = 5,671.84/x
  3. Step 3: Cross multiply
    12,685.36x = 19,027.68 × 5,671.84
  4. Step 4: Simplify right side
    12,685.36x = 107,921,956.53
  5. Step 5: Solve for x
    x = 107,921,956.53/12,685.36
  6. Step 6: Final answer
    x = 8,507.60

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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.