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Finding the Fourth Proportional to 17,124.86, 25,677.56 and 10,204.22

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Solution

The fourth proportional to 17,124.86, 25,677.56 and 10,204.22 is: 15,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,124.86 : 25,677.56 = 10,204.22 : x
  2. Step 2: Convert to fraction form
    17,124.86/25,677.56 = 10,204.22/x
  3. Step 3: Cross multiply
    17,124.86x = 25,677.56 × 10,204.22
  4. Step 4: Simplify right side
    17,124.86x = 262,019,471.30
  5. Step 5: Solve for x
    x = 262,019,471.30/17,124.86
  6. Step 6: Final answer
    x = 15,300.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.