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Finding the Fourth Proportional to 21,367.86, 32,051.44 and 8,223.08

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Solution

The fourth proportional to 21,367.86, 32,051.44 and 8,223.08 is: 12,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367.86 : 32,051.44 = 8,223.08 : x
  2. Step 2: Convert to fraction form
    21,367.86/32,051.44 = 8,223.08/x
  3. Step 3: Cross multiply
    21,367.86x = 32,051.44 × 8,223.08
  4. Step 4: Simplify right side
    21,367.86x = 263,561,555.24
  5. Step 5: Solve for x
    x = 263,561,555.24/21,367.86
  6. Step 6: Final answer
    x = 12,334.49

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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.