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Finding the Fourth Proportional to 17,768.08, 24,522.60 and 10,697.68

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Solution

The fourth proportional to 17,768.08, 24,522.60 and 10,697.68 is: 14,764.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.08 : 24,522.60 = 10,697.68 : x
  2. Step 2: Convert to fraction form
    17,768.08/24,522.60 = 10,697.68/x
  3. Step 3: Cross multiply
    17,768.08x = 24,522.60 × 10,697.68
  4. Step 4: Simplify right side
    17,768.08x = 262,334,927.57
  5. Step 5: Solve for x
    x = 262,334,927.57/17,768.08
  6. Step 6: Final answer
    x = 14,764.39

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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.