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Finding the Fourth Proportional to 23,729.50, 32,746.17 and 13,119.22

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Solution

The fourth proportional to 23,729.50, 32,746.17 and 13,119.22 is: 18,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.50 : 32,746.17 = 13,119.22 : x
  2. Step 2: Convert to fraction form
    23,729.50/32,746.17 = 13,119.22/x
  3. Step 3: Cross multiply
    23,729.50x = 32,746.17 × 13,119.22
  4. Step 4: Simplify right side
    23,729.50x = 429,604,208.39
  5. Step 5: Solve for x
    x = 429,604,208.39/23,729.50
  6. Step 6: Final answer
    x = 18,104.23

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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.