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Finding the Fourth Proportional to 13,997.88, 20,997.32 and 4,638.12

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Solution

The fourth proportional to 13,997.88, 20,997.32 and 4,638.12 is: 6,957.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.88 : 20,997.32 = 4,638.12 : x
  2. Step 2: Convert to fraction form
    13,997.88/20,997.32 = 4,638.12/x
  3. Step 3: Cross multiply
    13,997.88x = 20,997.32 × 4,638.12
  4. Step 4: Simplify right side
    13,997.88x = 97,388,089.84
  5. Step 5: Solve for x
    x = 97,388,089.84/13,997.88
  6. Step 6: Final answer
    x = 6,957.35

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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.