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Finding the Fourth Proportional to 13,762.04, 18,996.46 and 8,173

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Solution

The fourth proportional to 13,762.04, 18,996.46 and 8,173 is: 11,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.04 : 18,996.46 = 8,173 : x
  2. Step 2: Convert to fraction form
    13,762.04/18,996.46 = 8,173/x
  3. Step 3: Cross multiply
    13,762.04x = 18,996.46 × 8,173
  4. Step 4: Simplify right side
    13,762.04x = 155,258,067.58
  5. Step 5: Solve for x
    x = 155,258,067.58/13,762.04
  6. Step 6: Final answer
    x = 11,281.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.