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Finding the Fourth Proportional to 14,327.47, 19,771.39 and 7,954.34

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Solution

The fourth proportional to 14,327.47, 19,771.39 and 7,954.34 is: 10,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.47 : 19,771.39 = 7,954.34 : x
  2. Step 2: Convert to fraction form
    14,327.47/19,771.39 = 7,954.34/x
  3. Step 3: Cross multiply
    14,327.47x = 19,771.39 × 7,954.34
  4. Step 4: Simplify right side
    14,327.47x = 157,268,358.33
  5. Step 5: Solve for x
    x = 157,268,358.33/14,327.47
  6. Step 6: Final answer
    x = 10,976.70

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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.