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Finding the Fourth Proportional to 21,075.41, 29,085.43 and 11,643.97

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Solution

The fourth proportional to 21,075.41, 29,085.43 and 11,643.97 is: 16,069.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,075.41 : 29,085.43 = 11,643.97 : x
  2. Step 2: Convert to fraction form
    21,075.41/29,085.43 = 11,643.97/x
  3. Step 3: Cross multiply
    21,075.41x = 29,085.43 × 11,643.97
  4. Step 4: Simplify right side
    21,075.41x = 338,669,874.36
  5. Step 5: Solve for x
    x = 338,669,874.36/21,075.41
  6. Step 6: Final answer
    x = 16,069.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.