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Finding the Fourth Proportional to 13,195.89, 19,790.19 and 5,298.39

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Solution

The fourth proportional to 13,195.89, 19,790.19 and 5,298.39 is: 7,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.89 : 19,790.19 = 5,298.39 : x
  2. Step 2: Convert to fraction form
    13,195.89/19,790.19 = 5,298.39/x
  3. Step 3: Cross multiply
    13,195.89x = 19,790.19 × 5,298.39
  4. Step 4: Simplify right side
    13,195.89x = 104,856,144.79
  5. Step 5: Solve for x
    x = 104,856,144.79/13,195.89
  6. Step 6: Final answer
    x = 7,946.12

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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.