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Finding the Fourth Proportional to 17,115.96, 23,620.20 and 10,042.50

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Solution

The fourth proportional to 17,115.96, 23,620.20 and 10,042.50 is: 13,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,115.96 : 23,620.20 = 10,042.50 : x
  2. Step 2: Convert to fraction form
    17,115.96/23,620.20 = 10,042.50/x
  3. Step 3: Cross multiply
    17,115.96x = 23,620.20 × 10,042.50
  4. Step 4: Simplify right side
    17,115.96x = 237,205,858.50
  5. Step 5: Solve for x
    x = 237,205,858.50/17,115.96
  6. Step 6: Final answer
    x = 13,858.75

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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.