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Finding the Fourth Proportional to 13,299.81, 19,907.60 and 7,438.65

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Solution

The fourth proportional to 13,299.81, 19,907.60 and 7,438.65 is: 11,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,299.81 : 19,907.60 = 7,438.65 : x
  2. Step 2: Convert to fraction form
    13,299.81/19,907.60 = 7,438.65/x
  3. Step 3: Cross multiply
    13,299.81x = 19,907.60 × 7,438.65
  4. Step 4: Simplify right side
    13,299.81x = 148,085,631.55
  5. Step 5: Solve for x
    x = 148,085,631.55/13,299.81
  6. Step 6: Final answer
    x = 11,134.42

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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.