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Finding the Fourth Proportional to 23,642.85, 35,464.89 and 6,112.63

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Solution

The fourth proportional to 23,642.85, 35,464.89 and 6,112.63 is: 9,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,642.85 : 35,464.89 = 6,112.63 : x
  2. Step 2: Convert to fraction form
    23,642.85/35,464.89 = 6,112.63/x
  3. Step 3: Cross multiply
    23,642.85x = 35,464.89 × 6,112.63
  4. Step 4: Simplify right side
    23,642.85x = 216,783,573.24
  5. Step 5: Solve for x
    x = 216,783,573.24/23,642.85
  6. Step 6: Final answer
    x = 9,169.10

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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.