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Finding the Fourth Proportional to 13,997.30, 20,997.05 and 4,636.94

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Solution

The fourth proportional to 13,997.30, 20,997.05 and 4,636.94 is: 6,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.30 : 20,997.05 = 4,636.94 : x
  2. Step 2: Convert to fraction form
    13,997.30/20,997.05 = 4,636.94/x
  3. Step 3: Cross multiply
    13,997.30x = 20,997.05 × 4,636.94
  4. Step 4: Simplify right side
    13,997.30x = 97,361,932.86
  5. Step 5: Solve for x
    x = 97,361,932.86/13,997.30
  6. Step 6: Final answer
    x = 6,955.77

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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.