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Finding the Fourth Proportional to 13,149.36, 18,146.08 and 8,433.63

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Solution

The fourth proportional to 13,149.36, 18,146.08 and 8,433.63 is: 11,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.36 : 18,146.08 = 8,433.63 : x
  2. Step 2: Convert to fraction form
    13,149.36/18,146.08 = 8,433.63/x
  3. Step 3: Cross multiply
    13,149.36x = 18,146.08 × 8,433.63
  4. Step 4: Simplify right side
    13,149.36x = 153,037,324.67
  5. Step 5: Solve for x
    x = 153,037,324.67/13,149.36
  6. Step 6: Final answer
    x = 11,638.39

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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.