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Finding the Fourth Proportional to 21,561.94, 32,329.93 and 8,235.82

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Solution

The fourth proportional to 21,561.94, 32,329.93 and 8,235.82 is: 12,348.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,561.94 : 32,329.93 = 8,235.82 : x
  2. Step 2: Convert to fraction form
    21,561.94/32,329.93 = 8,235.82/x
  3. Step 3: Cross multiply
    21,561.94x = 32,329.93 × 8,235.82
  4. Step 4: Simplify right side
    21,561.94x = 266,263,484.09
  5. Step 5: Solve for x
    x = 266,263,484.09/21,561.94
  6. Step 6: Final answer
    x = 12,348.77

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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.