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Finding the Fourth Proportional to 13,533.08, 18,676.04 and 7,401.14

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Solution

The fourth proportional to 13,533.08, 18,676.04 and 7,401.14 is: 10,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.08 : 18,676.04 = 7,401.14 : x
  2. Step 2: Convert to fraction form
    13,533.08/18,676.04 = 7,401.14/x
  3. Step 3: Cross multiply
    13,533.08x = 18,676.04 × 7,401.14
  4. Step 4: Simplify right side
    13,533.08x = 138,223,986.69
  5. Step 5: Solve for x
    x = 138,223,986.69/13,533.08
  6. Step 6: Final answer
    x = 10,213.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.