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Finding the Fourth Proportional to 13,021.12, 17,978.06 and 8,311.78

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Solution

The fourth proportional to 13,021.12, 17,978.06 and 8,311.78 is: 11,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.12 : 17,978.06 = 8,311.78 : x
  2. Step 2: Convert to fraction form
    13,021.12/17,978.06 = 8,311.78/x
  3. Step 3: Cross multiply
    13,021.12x = 17,978.06 × 8,311.78
  4. Step 4: Simplify right side
    13,021.12x = 149,429,679.55
  5. Step 5: Solve for x
    x = 149,429,679.55/13,021.12
  6. Step 6: Final answer
    x = 11,475.95

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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.