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Finding the Fourth Proportional to 13,997.76, 20,953.20 and 10,466.94

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Solution

The fourth proportional to 13,997.76, 20,953.20 and 10,466.94 is: 15,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.76 : 20,953.20 = 10,466.94 : x
  2. Step 2: Convert to fraction form
    13,997.76/20,953.20 = 10,466.94/x
  3. Step 3: Cross multiply
    13,997.76x = 20,953.20 × 10,466.94
  4. Step 4: Simplify right side
    13,997.76x = 219,315,887.21
  5. Step 5: Solve for x
    x = 219,315,887.21/13,997.76
  6. Step 6: Final answer
    x = 15,667.93

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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.