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Finding the Fourth Proportional to 17,138.40, 23,655.12 and 10,768.80

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Solution

The fourth proportional to 17,138.40, 23,655.12 and 10,768.80 is: 14,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.40 : 23,655.12 = 10,768.80 : x
  2. Step 2: Convert to fraction form
    17,138.40/23,655.12 = 10,768.80/x
  3. Step 3: Cross multiply
    17,138.40x = 23,655.12 × 10,768.80
  4. Step 4: Simplify right side
    17,138.40x = 254,737,256.26
  5. Step 5: Solve for x
    x = 254,737,256.26/17,138.40
  6. Step 6: Final answer
    x = 14,863.54

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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.