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Finding the Fourth Proportional to 20,684.64, 31,026.96 and 8,364

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Solution

The fourth proportional to 20,684.64, 31,026.96 and 8,364 is: 12,546

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,684.64 : 31,026.96 = 8,364 : x
  2. Step 2: Convert to fraction form
    20,684.64/31,026.96 = 8,364/x
  3. Step 3: Cross multiply
    20,684.64x = 31,026.96 × 8,364
  4. Step 4: Simplify right side
    20,684.64x = 259,509,493.44
  5. Step 5: Solve for x
    x = 259,509,493.44/20,684.64
  6. Step 6: Final answer
    x = 12,546

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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.