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Finding the Fourth Proportional to 13,504.65, 20,256.02 and 3,644.49

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Solution

The fourth proportional to 13,504.65, 20,256.02 and 3,644.49 is: 5,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.65 : 20,256.02 = 3,644.49 : x
  2. Step 2: Convert to fraction form
    13,504.65/20,256.02 = 3,644.49/x
  3. Step 3: Cross multiply
    13,504.65x = 20,256.02 × 3,644.49
  4. Step 4: Simplify right side
    13,504.65x = 73,822,844.11
  5. Step 5: Solve for x
    x = 73,822,844.11/13,504.65
  6. Step 6: Final answer
    x = 5,466.48

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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.