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Finding the Fourth Proportional to 16,517.22, 22,788.18 and 9,438.63

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Solution

The fourth proportional to 16,517.22, 22,788.18 and 9,438.63 is: 13,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,517.22 : 22,788.18 = 9,438.63 : x
  2. Step 2: Convert to fraction form
    16,517.22/22,788.18 = 9,438.63/x
  3. Step 3: Cross multiply
    16,517.22x = 22,788.18 × 9,438.63
  4. Step 4: Simplify right side
    16,517.22x = 215,089,199.39
  5. Step 5: Solve for x
    x = 215,089,199.39/16,517.22
  6. Step 6: Final answer
    x = 13,022.12

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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.