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Finding the Fourth Proportional to 14,345.11, 19,796.22 and 7,971.68

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Solution

The fourth proportional to 14,345.11, 19,796.22 and 7,971.68 is: 11,000.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.11 : 19,796.22 = 7,971.68 : x
  2. Step 2: Convert to fraction form
    14,345.11/19,796.22 = 7,971.68/x
  3. Step 3: Cross multiply
    14,345.11x = 19,796.22 × 7,971.68
  4. Step 4: Simplify right side
    14,345.11x = 157,809,131.05
  5. Step 5: Solve for x
    x = 157,809,131.05/14,345.11
  6. Step 6: Final answer
    x = 11,000.90

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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.