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Finding the Fourth Proportional to 15,771.30, 21,764.31 and 8,697.72

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Solution

The fourth proportional to 15,771.30, 21,764.31 and 8,697.72 is: 12,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.30 : 21,764.31 = 8,697.72 : x
  2. Step 2: Convert to fraction form
    15,771.30/21,764.31 = 8,697.72/x
  3. Step 3: Cross multiply
    15,771.30x = 21,764.31 × 8,697.72
  4. Step 4: Simplify right side
    15,771.30x = 189,299,874.37
  5. Step 5: Solve for x
    x = 189,299,874.37/15,771.30
  6. Step 6: Final answer
    x = 12,002.81

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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.