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Finding the Fourth Proportional to 18,075, 24,942.06 and 10,116.84

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Solution

The fourth proportional to 18,075, 24,942.06 and 10,116.84 is: 13,960.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,075 : 24,942.06 = 10,116.84 : x
  2. Step 2: Convert to fraction form
    18,075/24,942.06 = 10,116.84/x
  3. Step 3: Cross multiply
    18,075x = 24,942.06 × 10,116.84
  4. Step 4: Simplify right side
    18,075x = 252,334,830.29
  5. Step 5: Solve for x
    x = 252,334,830.29/18,075
  6. Step 6: Final answer
    x = 13,960.43

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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.