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Finding the Fourth Proportional to 15,830.82, 21,846.60 and 8,757.48

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Solution

The fourth proportional to 15,830.82, 21,846.60 and 8,757.48 is: 12,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.82 : 21,846.60 = 8,757.48 : x
  2. Step 2: Convert to fraction form
    15,830.82/21,846.60 = 8,757.48/x
  3. Step 3: Cross multiply
    15,830.82x = 21,846.60 × 8,757.48
  4. Step 4: Simplify right side
    15,830.82x = 191,321,162.57
  5. Step 5: Solve for x
    x = 191,321,162.57/15,830.82
  6. Step 6: Final answer
    x = 12,085.36

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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.