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Finding the Fourth Proportional to 13,997.66, 21,000.10 and 5,232.64

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Solution

The fourth proportional to 13,997.66, 21,000.10 and 5,232.64 is: 7,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.66 : 21,000.10 = 5,232.64 : x
  2. Step 2: Convert to fraction form
    13,997.66/21,000.10 = 5,232.64/x
  3. Step 3: Cross multiply
    13,997.66x = 21,000.10 × 5,232.64
  4. Step 4: Simplify right side
    13,997.66x = 109,885,963.26
  5. Step 5: Solve for x
    x = 109,885,963.26/13,997.66
  6. Step 6: Final answer
    x = 7,850.31

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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.