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Finding the Fourth Proportional to 23,464.84, 35,199.55 and 6,825

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Solution

The fourth proportional to 23,464.84, 35,199.55 and 6,825 is: 10,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,464.84 : 35,199.55 = 6,825 : x
  2. Step 2: Convert to fraction form
    23,464.84/35,199.55 = 6,825/x
  3. Step 3: Cross multiply
    23,464.84x = 35,199.55 × 6,825
  4. Step 4: Simplify right side
    23,464.84x = 240,236,928.75
  5. Step 5: Solve for x
    x = 240,236,928.75/23,464.84
  6. Step 6: Final answer
    x = 10,238.17

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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.