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Finding the Fourth Proportional to 14,241.72, 21,361.14 and 5,007

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Solution

The fourth proportional to 14,241.72, 21,361.14 and 5,007 is: 7,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.72 : 21,361.14 = 5,007 : x
  2. Step 2: Convert to fraction form
    14,241.72/21,361.14 = 5,007/x
  3. Step 3: Cross multiply
    14,241.72x = 21,361.14 × 5,007
  4. Step 4: Simplify right side
    14,241.72x = 106,955,227.98
  5. Step 5: Solve for x
    x = 106,955,227.98/14,241.72
  6. Step 6: Final answer
    x = 7,509.99

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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.