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Finding the Fourth Proportional to 14,651.96, 21,971.37 and 8,731.64

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Solution

The fourth proportional to 14,651.96, 21,971.37 and 8,731.64 is: 13,093.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.96 : 21,971.37 = 8,731.64 : x
  2. Step 2: Convert to fraction form
    14,651.96/21,971.37 = 8,731.64/x
  3. Step 3: Cross multiply
    14,651.96x = 21,971.37 × 8,731.64
  4. Step 4: Simplify right side
    14,651.96x = 191,845,983.29
  5. Step 5: Solve for x
    x = 191,845,983.29/14,651.96
  6. Step 6: Final answer
    x = 13,093.54

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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.