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Finding the Fourth Proportional to 17,980.96, 24,814.56 and 10,023.24

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Solution

The fourth proportional to 17,980.96, 24,814.56 and 10,023.24 is: 13,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.96 : 24,814.56 = 10,023.24 : x
  2. Step 2: Convert to fraction form
    17,980.96/24,814.56 = 10,023.24/x
  3. Step 3: Cross multiply
    17,980.96x = 24,814.56 × 10,023.24
  4. Step 4: Simplify right side
    17,980.96x = 248,722,290.37
  5. Step 5: Solve for x
    x = 248,722,290.37/17,980.96
  6. Step 6: Final answer
    x = 13,832.54

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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.