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Finding the Fourth Proportional to 21,012.90, 31,520.63 and 6,782.82

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Solution

The fourth proportional to 21,012.90, 31,520.63 and 6,782.82 is: 10,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.90 : 31,520.63 = 6,782.82 : x
  2. Step 2: Convert to fraction form
    21,012.90/31,520.63 = 6,782.82/x
  3. Step 3: Cross multiply
    21,012.90x = 31,520.63 × 6,782.82
  4. Step 4: Simplify right side
    21,012.90x = 213,798,759.58
  5. Step 5: Solve for x
    x = 213,798,759.58/21,012.90
  6. Step 6: Final answer
    x = 10,174.64

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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.