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Finding the Fourth Proportional to 23,198.39, 34,797.48 and 7,616.01

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Solution

The fourth proportional to 23,198.39, 34,797.48 and 7,616.01 is: 11,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.39 : 34,797.48 = 7,616.01 : x
  2. Step 2: Convert to fraction form
    23,198.39/34,797.48 = 7,616.01/x
  3. Step 3: Cross multiply
    23,198.39x = 34,797.48 × 7,616.01
  4. Step 4: Simplify right side
    23,198.39x = 265,017,955.65
  5. Step 5: Solve for x
    x = 265,017,955.65/23,198.39
  6. Step 6: Final answer
    x = 11,423.98

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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.