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Finding the Fourth Proportional to 34,198.80, 51,298.20 and 9,574.80

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Solution

The fourth proportional to 34,198.80, 51,298.20 and 9,574.80 is: 14,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.80 : 51,298.20 = 9,574.80 : x
  2. Step 2: Convert to fraction form
    34,198.80/51,298.20 = 9,574.80/x
  3. Step 3: Cross multiply
    34,198.80x = 51,298.20 × 9,574.80
  4. Step 4: Simplify right side
    34,198.80x = 491,170,005.36
  5. Step 5: Solve for x
    x = 491,170,005.36/34,198.80
  6. Step 6: Final answer
    x = 14,362.20

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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.