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Finding the Fourth Proportional to 16,241.31, 22,378.68 and 14,453.64

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Solution

The fourth proportional to 16,241.31, 22,378.68 and 14,453.64 is: 19,915.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.31 : 22,378.68 = 14,453.64 : x
  2. Step 2: Convert to fraction form
    16,241.31/22,378.68 = 14,453.64/x
  3. Step 3: Cross multiply
    16,241.31x = 22,378.68 × 14,453.64
  4. Step 4: Simplify right side
    16,241.31x = 323,453,384.40
  5. Step 5: Solve for x
    x = 323,453,384.40/16,241.31
  6. Step 6: Final answer
    x = 19,915.47

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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.