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Finding the Fourth Proportional to 23,378.85, 32,262.60 and 12,768.48

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Solution

The fourth proportional to 23,378.85, 32,262.60 and 12,768.48 is: 17,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.85 : 32,262.60 = 12,768.48 : x
  2. Step 2: Convert to fraction form
    23,378.85/32,262.60 = 12,768.48/x
  3. Step 3: Cross multiply
    23,378.85x = 32,262.60 × 12,768.48
  4. Step 4: Simplify right side
    23,378.85x = 411,944,362.85
  5. Step 5: Solve for x
    x = 411,944,362.85/23,378.85
  6. Step 6: Final answer
    x = 17,620.39

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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.