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Finding the Fourth Proportional to 13,004.02, 19,507.20 and 3,644.14

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Solution

The fourth proportional to 13,004.02, 19,507.20 and 3,644.14 is: 5,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,004.02 : 19,507.20 = 3,644.14 : x
  2. Step 2: Convert to fraction form
    13,004.02/19,507.20 = 3,644.14/x
  3. Step 3: Cross multiply
    13,004.02x = 19,507.20 × 3,644.14
  4. Step 4: Simplify right side
    13,004.02x = 71,086,967.81
  5. Step 5: Solve for x
    x = 71,086,967.81/13,004.02
  6. Step 6: Final answer
    x = 5,466.54

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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.