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Finding the Fourth Proportional to 13,039.38, 19,545.03 and 5,246.10

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Solution

The fourth proportional to 13,039.38, 19,545.03 and 5,246.10 is: 7,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.38 : 19,545.03 = 5,246.10 : x
  2. Step 2: Convert to fraction form
    13,039.38/19,545.03 = 5,246.10/x
  3. Step 3: Cross multiply
    13,039.38x = 19,545.03 × 5,246.10
  4. Step 4: Simplify right side
    13,039.38x = 102,535,181.88
  5. Step 5: Solve for x
    x = 102,535,181.88/13,039.38
  6. Step 6: Final answer
    x = 7,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.