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Finding the Fourth Proportional to 23,716.40, 35,576.40 and 7,075.14

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Solution

The fourth proportional to 23,716.40, 35,576.40 and 7,075.14 is: 10,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,716.40 : 35,576.40 = 7,075.14 : x
  2. Step 2: Convert to fraction form
    23,716.40/35,576.40 = 7,075.14/x
  3. Step 3: Cross multiply
    23,716.40x = 35,576.40 × 7,075.14
  4. Step 4: Simplify right side
    23,716.40x = 251,708,010.70
  5. Step 5: Solve for x
    x = 251,708,010.70/23,716.40
  6. Step 6: Final answer
    x = 10,613.25

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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.