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Finding the Fourth Proportional to 13,749.47, 18,974.32 and 7,461.85

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Solution

The fourth proportional to 13,749.47, 18,974.32 and 7,461.85 is: 10,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749.47 : 18,974.32 = 7,461.85 : x
  2. Step 2: Convert to fraction form
    13,749.47/18,974.32 = 7,461.85/x
  3. Step 3: Cross multiply
    13,749.47x = 18,974.32 × 7,461.85
  4. Step 4: Simplify right side
    13,749.47x = 141,583,529.69
  5. Step 5: Solve for x
    x = 141,583,529.69/13,749.47
  6. Step 6: Final answer
    x = 10,297.38

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Why These Related Problems?

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