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Finding the Fourth Proportional to 17,410.50, 24,026.52 and 9,958.50

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Solution

The fourth proportional to 17,410.50, 24,026.52 and 9,958.50 is: 13,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,410.50 : 24,026.52 = 9,958.50 : x
  2. Step 2: Convert to fraction form
    17,410.50/24,026.52 = 9,958.50/x
  3. Step 3: Cross multiply
    17,410.50x = 24,026.52 × 9,958.50
  4. Step 4: Simplify right side
    17,410.50x = 239,268,099.42
  5. Step 5: Solve for x
    x = 239,268,099.42/17,410.50
  6. Step 6: Final answer
    x = 13,742.75

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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.