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Finding the Fourth Proportional to 24,825, 34,258.50 and 13,647

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Solution

The fourth proportional to 24,825, 34,258.50 and 13,647 is: 18,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825 : 34,258.50 = 13,647 : x
  2. Step 2: Convert to fraction form
    24,825/34,258.50 = 13,647/x
  3. Step 3: Cross multiply
    24,825x = 34,258.50 × 13,647
  4. Step 4: Simplify right side
    24,825x = 467,525,749.50
  5. Step 5: Solve for x
    x = 467,525,749.50/24,825
  6. Step 6: Final answer
    x = 18,832.86

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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.