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Finding the Fourth Proportional to 22,713.21, 34,075.49 and 7,922.34

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Solution

The fourth proportional to 22,713.21, 34,075.49 and 7,922.34 is: 11,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.21 : 34,075.49 = 7,922.34 : x
  2. Step 2: Convert to fraction form
    22,713.21/34,075.49 = 7,922.34/x
  3. Step 3: Cross multiply
    22,713.21x = 34,075.49 × 7,922.34
  4. Step 4: Simplify right side
    22,713.21x = 269,957,577.83
  5. Step 5: Solve for x
    x = 269,957,577.83/22,713.21
  6. Step 6: Final answer
    x = 11,885.49

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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.