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Finding the Fourth Proportional to 17,094.96, 23,591.22 and 10,021.50

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Solution

The fourth proportional to 17,094.96, 23,591.22 and 10,021.50 is: 13,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094.96 : 23,591.22 = 10,021.50 : x
  2. Step 2: Convert to fraction form
    17,094.96/23,591.22 = 10,021.50/x
  3. Step 3: Cross multiply
    17,094.96x = 23,591.22 × 10,021.50
  4. Step 4: Simplify right side
    17,094.96x = 236,419,411.23
  5. Step 5: Solve for x
    x = 236,419,411.23/17,094.96
  6. Step 6: Final answer
    x = 13,829.77

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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.