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Finding the Fourth Proportional to 12,201.12, 16,835.69 and 6,894

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Solution

The fourth proportional to 12,201.12, 16,835.69 and 6,894 is: 9,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.12 : 16,835.69 = 6,894 : x
  2. Step 2: Convert to fraction form
    12,201.12/16,835.69 = 6,894/x
  3. Step 3: Cross multiply
    12,201.12x = 16,835.69 × 6,894
  4. Step 4: Simplify right side
    12,201.12x = 116,065,212.39
  5. Step 5: Solve for x
    x = 116,065,212.39/12,201.12
  6. Step 6: Final answer
    x = 9,512.67

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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.