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Finding the Fourth Proportional to 17,215.33, 25,823 and 5,536.75

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Solution

The fourth proportional to 17,215.33, 25,823 and 5,536.75 is: 8,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,215.33 : 25,823 = 5,536.75 : x
  2. Step 2: Convert to fraction form
    17,215.33/25,823 = 5,536.75/x
  3. Step 3: Cross multiply
    17,215.33x = 25,823 × 5,536.75
  4. Step 4: Simplify right side
    17,215.33x = 142,975,495.25
  5. Step 5: Solve for x
    x = 142,975,495.25/17,215.33
  6. Step 6: Final answer
    x = 8,305.13

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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.