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Finding the Fourth Proportional to 13,438.58, 20,141.46 and 7,583.09

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Solution

The fourth proportional to 13,438.58, 20,141.46 and 7,583.09 is: 11,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.58 : 20,141.46 = 7,583.09 : x
  2. Step 2: Convert to fraction form
    13,438.58/20,141.46 = 7,583.09/x
  3. Step 3: Cross multiply
    13,438.58x = 20,141.46 × 7,583.09
  4. Step 4: Simplify right side
    13,438.58x = 152,734,403.20
  5. Step 5: Solve for x
    x = 152,734,403.20/13,438.58
  6. Step 6: Final answer
    x = 11,365.37

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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.