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Finding the Fourth Proportional to 11,625.96, 17,416.20 and 9,290.88

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Solution

The fourth proportional to 11,625.96, 17,416.20 and 9,290.88 is: 13,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.96 : 17,416.20 = 9,290.88 : x
  2. Step 2: Convert to fraction form
    11,625.96/17,416.20 = 9,290.88/x
  3. Step 3: Cross multiply
    11,625.96x = 17,416.20 × 9,290.88
  4. Step 4: Simplify right side
    11,625.96x = 161,811,824.26
  5. Step 5: Solve for x
    x = 161,811,824.26/11,625.96
  6. Step 6: Final answer
    x = 13,918.15

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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.