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Finding the Fourth Proportional to 13,013.62, 19,488.94 and 7,450.09

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Solution

The fourth proportional to 13,013.62, 19,488.94 and 7,450.09 is: 11,157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.62 : 19,488.94 = 7,450.09 : x
  2. Step 2: Convert to fraction form
    13,013.62/19,488.94 = 7,450.09/x
  3. Step 3: Cross multiply
    13,013.62x = 19,488.94 × 7,450.09
  4. Step 4: Simplify right side
    13,013.62x = 145,194,289.66
  5. Step 5: Solve for x
    x = 145,194,289.66/13,013.62
  6. Step 6: Final answer
    x = 11,157.10

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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.