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Finding the Fourth Proportional to 21,181.98, 31,771.59 and 8,698.77

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Solution

The fourth proportional to 21,181.98, 31,771.59 and 8,698.77 is: 13,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,181.98 : 31,771.59 = 8,698.77 : x
  2. Step 2: Convert to fraction form
    21,181.98/31,771.59 = 8,698.77/x
  3. Step 3: Cross multiply
    21,181.98x = 31,771.59 × 8,698.77
  4. Step 4: Simplify right side
    21,181.98x = 276,373,753.94
  5. Step 5: Solve for x
    x = 276,373,753.94/21,181.98
  6. Step 6: Final answer
    x = 13,047.59

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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.