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Finding the Fourth Proportional to 21,200.94, 31,801.41 and 8,050.23

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Solution

The fourth proportional to 21,200.94, 31,801.41 and 8,050.23 is: 12,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.94 : 31,801.41 = 8,050.23 : x
  2. Step 2: Convert to fraction form
    21,200.94/31,801.41 = 8,050.23/x
  3. Step 3: Cross multiply
    21,200.94x = 31,801.41 × 8,050.23
  4. Step 4: Simplify right side
    21,200.94x = 256,008,664.82
  5. Step 5: Solve for x
    x = 256,008,664.82/21,200.94
  6. Step 6: Final answer
    x = 12,075.35

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