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Finding the Fourth Proportional to 12,861.25, 19,291.64 and 4,096.04

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Solution

The fourth proportional to 12,861.25, 19,291.64 and 4,096.04 is: 6,143.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.25 : 19,291.64 = 4,096.04 : x
  2. Step 2: Convert to fraction form
    12,861.25/19,291.64 = 4,096.04/x
  3. Step 3: Cross multiply
    12,861.25x = 19,291.64 × 4,096.04
  4. Step 4: Simplify right side
    12,861.25x = 79,019,212.17
  5. Step 5: Solve for x
    x = 79,019,212.17/12,861.25
  6. Step 6: Final answer
    x = 6,143.98

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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.