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Finding the Fourth Proportional to 14,241.24, 19,651.36 and 8,497.63

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Solution

The fourth proportional to 14,241.24, 19,651.36 and 8,497.63 is: 11,725.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.24 : 19,651.36 = 8,497.63 : x
  2. Step 2: Convert to fraction form
    14,241.24/19,651.36 = 8,497.63/x
  3. Step 3: Cross multiply
    14,241.24x = 19,651.36 × 8,497.63
  4. Step 4: Simplify right side
    14,241.24x = 166,989,986.28
  5. Step 5: Solve for x
    x = 166,989,986.28/14,241.24
  6. Step 6: Final answer
    x = 11,725.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.