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Finding the Fourth Proportional to 13,227.72, 19,842.74 and 4,907.83

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Solution

The fourth proportional to 13,227.72, 19,842.74 and 4,907.83 is: 7,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,227.72 : 19,842.74 = 4,907.83 : x
  2. Step 2: Convert to fraction form
    13,227.72/19,842.74 = 4,907.83/x
  3. Step 3: Cross multiply
    13,227.72x = 19,842.74 × 4,907.83
  4. Step 4: Simplify right side
    13,227.72x = 97,384,794.65
  5. Step 5: Solve for x
    x = 97,384,794.65/13,227.72
  6. Step 6: Final answer
    x = 7,362.18

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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.