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Finding the Fourth Proportional to 12,863.62, 19,298.49 and 4,098.52

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Solution

The fourth proportional to 12,863.62, 19,298.49 and 4,098.52 is: 6,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.62 : 19,298.49 = 4,098.52 : x
  2. Step 2: Convert to fraction form
    12,863.62/19,298.49 = 4,098.52/x
  3. Step 3: Cross multiply
    12,863.62x = 19,298.49 × 4,098.52
  4. Step 4: Simplify right side
    12,863.62x = 79,095,247.23
  5. Step 5: Solve for x
    x = 79,095,247.23/12,863.62
  6. Step 6: Final answer
    x = 6,148.75

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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.