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Finding the Fourth Proportional to 24,932, 34,406.81 and 13,601.68

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Solution

The fourth proportional to 24,932, 34,406.81 and 13,601.68 is: 18,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932 : 34,406.81 = 13,601.68 : x
  2. Step 2: Convert to fraction form
    24,932/34,406.81 = 13,601.68/x
  3. Step 3: Cross multiply
    24,932x = 34,406.81 × 13,601.68
  4. Step 4: Simplify right side
    24,932x = 467,990,419.44
  5. Step 5: Solve for x
    x = 467,990,419.44/24,932
  6. Step 6: Final answer
    x = 18,770.67

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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.