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Finding the Fourth Proportional to 21,368.86, 32,052.94 and 8,224.08

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Solution

The fourth proportional to 21,368.86, 32,052.94 and 8,224.08 is: 12,335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.86 : 32,052.94 = 8,224.08 : x
  2. Step 2: Convert to fraction form
    21,368.86/32,052.94 = 8,224.08/x
  3. Step 3: Cross multiply
    21,368.86x = 32,052.94 × 8,224.08
  4. Step 4: Simplify right side
    21,368.86x = 263,605,942.80
  5. Step 5: Solve for x
    x = 263,605,942.80/21,368.86
  6. Step 6: Final answer
    x = 12,335.99

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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.