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Finding the Fourth Proportional to 17,138.50, 23,661.34 and 10,770.48

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Solution

The fourth proportional to 17,138.50, 23,661.34 and 10,770.48 is: 14,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.50 : 23,661.34 = 10,770.48 : x
  2. Step 2: Convert to fraction form
    17,138.50/23,661.34 = 10,770.48/x
  3. Step 3: Cross multiply
    17,138.50x = 23,661.34 × 10,770.48
  4. Step 4: Simplify right side
    17,138.50x = 254,843,962.32
  5. Step 5: Solve for x
    x = 254,843,962.32/17,138.50
  6. Step 6: Final answer
    x = 14,869.68

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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.