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Finding the Fourth Proportional to 21,181.66, 31,782.75 and 8,710.90

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Solution

The fourth proportional to 21,181.66, 31,782.75 and 8,710.90 is: 13,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.66 : 31,782.75 = 8,710.90 : x
  2. Step 2: Convert to fraction form
    21,181.66/31,782.75 = 8,710.90/x
  3. Step 3: Cross multiply
    21,181.66x = 31,782.75 × 8,710.90
  4. Step 4: Simplify right side
    21,181.66x = 276,856,356.98
  5. Step 5: Solve for x
    x = 276,856,356.98/21,181.66
  6. Step 6: Final answer
    x = 13,070.57

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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.