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Finding the Fourth Proportional to 12,021.14, 16,580.64 and 8,615.06

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Solution

The fourth proportional to 12,021.14, 16,580.64 and 8,615.06 is: 11,882.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,021.14 : 16,580.64 = 8,615.06 : x
  2. Step 2: Convert to fraction form
    12,021.14/16,580.64 = 8,615.06/x
  3. Step 3: Cross multiply
    12,021.14x = 16,580.64 × 8,615.06
  4. Step 4: Simplify right side
    12,021.14x = 142,843,208.44
  5. Step 5: Solve for x
    x = 142,843,208.44/12,021.14
  6. Step 6: Final answer
    x = 11,882.67

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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.