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Finding the Fourth Proportional to 13,027.52, 19,529.74 and 6,269.19

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Solution

The fourth proportional to 13,027.52, 19,529.74 and 6,269.19 is: 9,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.52 : 19,529.74 = 6,269.19 : x
  2. Step 2: Convert to fraction form
    13,027.52/19,529.74 = 6,269.19/x
  3. Step 3: Cross multiply
    13,027.52x = 19,529.74 × 6,269.19
  4. Step 4: Simplify right side
    13,027.52x = 122,435,650.71
  5. Step 5: Solve for x
    x = 122,435,650.71/13,027.52
  6. Step 6: Final answer
    x = 9,398.23

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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.