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Finding the Fourth Proportional to 13,230.63, 18,255.39 and 7,638.39

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Solution

The fourth proportional to 13,230.63, 18,255.39 and 7,638.39 is: 10,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.63 : 18,255.39 = 7,638.39 : x
  2. Step 2: Convert to fraction form
    13,230.63/18,255.39 = 7,638.39/x
  3. Step 3: Cross multiply
    13,230.63x = 18,255.39 × 7,638.39
  4. Step 4: Simplify right side
    13,230.63x = 139,441,788.42
  5. Step 5: Solve for x
    x = 139,441,788.42/13,230.63
  6. Step 6: Final answer
    x = 10,539.32

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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.