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Finding the Fourth Proportional to 13,203.74, 19,792.27 and 8,276.83

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Solution

The fourth proportional to 13,203.74, 19,792.27 and 8,276.83 is: 12,406.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203.74 : 19,792.27 = 8,276.83 : x
  2. Step 2: Convert to fraction form
    13,203.74/19,792.27 = 8,276.83/x
  3. Step 3: Cross multiply
    13,203.74x = 19,792.27 × 8,276.83
  4. Step 4: Simplify right side
    13,203.74x = 163,817,183.93
  5. Step 5: Solve for x
    x = 163,817,183.93/13,203.74
  6. Step 6: Final answer
    x = 12,406.88

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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.