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Finding the Fourth Proportional to 17,588.50, 24,272.22 and 13,116.22

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Solution

The fourth proportional to 17,588.50, 24,272.22 and 13,116.22 is: 18,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.50 : 24,272.22 = 13,116.22 : x
  2. Step 2: Convert to fraction form
    17,588.50/24,272.22 = 13,116.22/x
  3. Step 3: Cross multiply
    17,588.50x = 24,272.22 × 13,116.22
  4. Step 4: Simplify right side
    17,588.50x = 318,359,777.41
  5. Step 5: Solve for x
    x = 318,359,777.41/17,588.50
  6. Step 6: Final answer
    x = 18,100.45

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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.