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Finding the Fourth Proportional to 13,171.77, 19,760.78 and 3,812.01

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Solution

The fourth proportional to 13,171.77, 19,760.78 and 3,812.01 is: 5,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.77 : 19,760.78 = 3,812.01 : x
  2. Step 2: Convert to fraction form
    13,171.77/19,760.78 = 3,812.01/x
  3. Step 3: Cross multiply
    13,171.77x = 19,760.78 × 3,812.01
  4. Step 4: Simplify right side
    13,171.77x = 75,328,271.91
  5. Step 5: Solve for x
    x = 75,328,271.91/13,171.77
  6. Step 6: Final answer
    x = 5,718.92

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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.