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Finding the Fourth Proportional to 12,643.29, 18,963.52 and 4,846.64

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Solution

The fourth proportional to 12,643.29, 18,963.52 and 4,846.64 is: 7,269.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.29 : 18,963.52 = 4,846.64 : x
  2. Step 2: Convert to fraction form
    12,643.29/18,963.52 = 4,846.64/x
  3. Step 3: Cross multiply
    12,643.29x = 18,963.52 × 4,846.64
  4. Step 4: Simplify right side
    12,643.29x = 91,909,247.64
  5. Step 5: Solve for x
    x = 91,909,247.64/12,643.29
  6. Step 6: Final answer
    x = 7,269.41

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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.