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Finding the Fourth Proportional to 23,870.49, 35,805.83 and 8,075.64

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Solution

The fourth proportional to 23,870.49, 35,805.83 and 8,075.64 is: 12,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,870.49 : 35,805.83 = 8,075.64 : x
  2. Step 2: Convert to fraction form
    23,870.49/35,805.83 = 8,075.64/x
  3. Step 3: Cross multiply
    23,870.49x = 35,805.83 × 8,075.64
  4. Step 4: Simplify right side
    23,870.49x = 289,154,992.98
  5. Step 5: Solve for x
    x = 289,154,992.98/23,870.49
  6. Step 6: Final answer
    x = 12,113.49

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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.