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Finding the Fourth Proportional to 17,212.96, 25,820.40 and 4,900

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Solution

The fourth proportional to 17,212.96, 25,820.40 and 4,900 is: 7,350.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212.96 : 25,820.40 = 4,900 : x
  2. Step 2: Convert to fraction form
    17,212.96/25,820.40 = 4,900/x
  3. Step 3: Cross multiply
    17,212.96x = 25,820.40 × 4,900
  4. Step 4: Simplify right side
    17,212.96x = 126,519,960
  5. Step 5: Solve for x
    x = 126,519,960/17,212.96
  6. Step 6: Final answer
    x = 7,350.27

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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.