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Finding the Fourth Proportional to 25,782.82, 35,567.62 and 16,826.18

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Solution

The fourth proportional to 25,782.82, 35,567.62 and 16,826.18 is: 23,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.82 : 35,567.62 = 16,826.18 : x
  2. Step 2: Convert to fraction form
    25,782.82/35,567.62 = 16,826.18/x
  3. Step 3: Cross multiply
    25,782.82x = 35,567.62 × 16,826.18
  4. Step 4: Simplify right side
    25,782.82x = 598,467,176.29
  5. Step 5: Solve for x
    x = 598,467,176.29/25,782.82
  6. Step 6: Final answer
    x = 23,211.86

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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.