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Finding the Fourth Proportional to 14,327.23, 19,771.34 and 7,953.81

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Solution

The fourth proportional to 14,327.23, 19,771.34 and 7,953.81 is: 10,976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.23 : 19,771.34 = 7,953.81 : x
  2. Step 2: Convert to fraction form
    14,327.23/19,771.34 = 7,953.81/x
  3. Step 3: Cross multiply
    14,327.23x = 19,771.34 × 7,953.81
  4. Step 4: Simplify right side
    14,327.23x = 157,257,481.81
  5. Step 5: Solve for x
    x = 157,257,481.81/14,327.23
  6. Step 6: Final answer
    x = 10,976.13

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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.