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Finding the Fourth Proportional to 12,969.98, 19,456.77 and 4,202.06

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Solution

The fourth proportional to 12,969.98, 19,456.77 and 4,202.06 is: 6,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.98 : 19,456.77 = 4,202.06 : x
  2. Step 2: Convert to fraction form
    12,969.98/19,456.77 = 4,202.06/x
  3. Step 3: Cross multiply
    12,969.98x = 19,456.77 × 4,202.06
  4. Step 4: Simplify right side
    12,969.98x = 81,758,514.95
  5. Step 5: Solve for x
    x = 81,758,514.95/12,969.98
  6. Step 6: Final answer
    x = 6,303.67

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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.