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Finding the Fourth Proportional to 23,968.94, 33,075.69 and 13,213.22

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Solution

The fourth proportional to 23,968.94, 33,075.69 and 13,213.22 is: 18,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,968.94 : 33,075.69 = 13,213.22 : x
  2. Step 2: Convert to fraction form
    23,968.94/33,075.69 = 13,213.22/x
  3. Step 3: Cross multiply
    23,968.94x = 33,075.69 × 13,213.22
  4. Step 4: Simplify right side
    23,968.94x = 437,036,368.62
  5. Step 5: Solve for x
    x = 437,036,368.62/23,968.94
  6. Step 6: Final answer
    x = 18,233.45

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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.