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Finding the Fourth Proportional to 24,773, 34,186.82 and 13,442.68

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Solution

The fourth proportional to 24,773, 34,186.82 and 13,442.68 is: 18,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,773 : 34,186.82 = 13,442.68 : x
  2. Step 2: Convert to fraction form
    24,773/34,186.82 = 13,442.68/x
  3. Step 3: Cross multiply
    24,773x = 34,186.82 × 13,442.68
  4. Step 4: Simplify right side
    24,773x = 459,562,481.48
  5. Step 5: Solve for x
    x = 459,562,481.48/24,773
  6. Step 6: Final answer
    x = 18,550.94

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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.