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Finding the Fourth Proportional to 12,869.74, 19,305.96 and 4,105

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Solution

The fourth proportional to 12,869.74, 19,305.96 and 4,105 is: 6,157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.74 : 19,305.96 = 4,105 : x
  2. Step 2: Convert to fraction form
    12,869.74/19,305.96 = 4,105/x
  3. Step 3: Cross multiply
    12,869.74x = 19,305.96 × 4,105
  4. Step 4: Simplify right side
    12,869.74x = 79,250,965.80
  5. Step 5: Solve for x
    x = 79,250,965.80/12,869.74
  6. Step 6: Final answer
    x = 6,157.93

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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.