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Finding the Fourth Proportional to 13,171.53, 19,762.64 and 5,772.09

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Solution

The fourth proportional to 13,171.53, 19,762.64 and 5,772.09 is: 8,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.53 : 19,762.64 = 5,772.09 : x
  2. Step 2: Convert to fraction form
    13,171.53/19,762.64 = 5,772.09/x
  3. Step 3: Cross multiply
    13,171.53x = 19,762.64 × 5,772.09
  4. Step 4: Simplify right side
    13,171.53x = 114,071,707.86
  5. Step 5: Solve for x
    x = 114,071,707.86/13,171.53
  6. Step 6: Final answer
    x = 8,660.48

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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.