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Finding the Fourth Proportional to 23,546.84, 35,325.14 and 6,907.41

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Solution

The fourth proportional to 23,546.84, 35,325.14 and 6,907.41 is: 10,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,546.84 : 35,325.14 = 6,907.41 : x
  2. Step 2: Convert to fraction form
    23,546.84/35,325.14 = 6,907.41/x
  3. Step 3: Cross multiply
    23,546.84x = 35,325.14 × 6,907.41
  4. Step 4: Simplify right side
    23,546.84x = 244,005,190.75
  5. Step 5: Solve for x
    x = 244,005,190.75/23,546.84
  6. Step 6: Final answer
    x = 10,362.55

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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.