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Finding the Fourth Proportional to 21,336.81, 31,994.45 and 12,455.19

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Solution

The fourth proportional to 21,336.81, 31,994.45 and 12,455.19 is: 18,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336.81 : 31,994.45 = 12,455.19 : x
  2. Step 2: Convert to fraction form
    21,336.81/31,994.45 = 12,455.19/x
  3. Step 3: Cross multiply
    21,336.81x = 31,994.45 × 12,455.19
  4. Step 4: Simplify right side
    21,336.81x = 398,496,891.42
  5. Step 5: Solve for x
    x = 398,496,891.42/21,336.81
  6. Step 6: Final answer
    x = 18,676.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.