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Finding the Fourth Proportional to 17,823.24, 26,734 and 4,675.32

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Solution

The fourth proportional to 17,823.24, 26,734 and 4,675.32 is: 7,012.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.24 : 26,734 = 4,675.32 : x
  2. Step 2: Convert to fraction form
    17,823.24/26,734 = 4,675.32/x
  3. Step 3: Cross multiply
    17,823.24x = 26,734 × 4,675.32
  4. Step 4: Simplify right side
    17,823.24x = 124,990,004.88
  5. Step 5: Solve for x
    x = 124,990,004.88/17,823.24
  6. Step 6: Final answer
    x = 7,012.75

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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.