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Finding the Fourth Proportional to 13,230.26, 19,846.16 and 4,226.30

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Solution

The fourth proportional to 13,230.26, 19,846.16 and 4,226.30 is: 6,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.26 : 19,846.16 = 4,226.30 : x
  2. Step 2: Convert to fraction form
    13,230.26/19,846.16 = 4,226.30/x
  3. Step 3: Cross multiply
    13,230.26x = 19,846.16 × 4,226.30
  4. Step 4: Simplify right side
    13,230.26x = 83,875,826.01
  5. Step 5: Solve for x
    x = 83,875,826.01/13,230.26
  6. Step 6: Final answer
    x = 6,339.70

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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.