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Finding the Fourth Proportional to 14,832.54, 22,238.31 and 7,431.72

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Solution

The fourth proportional to 14,832.54, 22,238.31 and 7,431.72 is: 11,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.54 : 22,238.31 = 7,431.72 : x
  2. Step 2: Convert to fraction form
    14,832.54/22,238.31 = 7,431.72/x
  3. Step 3: Cross multiply
    14,832.54x = 22,238.31 × 7,431.72
  4. Step 4: Simplify right side
    14,832.54x = 165,268,893.19
  5. Step 5: Solve for x
    x = 165,268,893.19/14,832.54
  6. Step 6: Final answer
    x = 11,142.32

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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.