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Finding the Fourth Proportional to 23,870.37, 35,805.57 and 9,075.87

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Solution

The fourth proportional to 23,870.37, 35,805.57 and 9,075.87 is: 13,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.37 : 35,805.57 = 9,075.87 : x
  2. Step 2: Convert to fraction form
    23,870.37/35,805.57 = 9,075.87/x
  3. Step 3: Cross multiply
    23,870.37x = 35,805.57 × 9,075.87
  4. Step 4: Simplify right side
    23,870.37x = 324,966,698.60
  5. Step 5: Solve for x
    x = 324,966,698.60/23,870.37
  6. Step 6: Final answer
    x = 13,613.81

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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.