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Finding the Fourth Proportional to 13,153.14, 19,722.48 and 8,997.84

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Solution

The fourth proportional to 13,153.14, 19,722.48 and 8,997.84 is: 13,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.14 : 19,722.48 = 8,997.84 : x
  2. Step 2: Convert to fraction form
    13,153.14/19,722.48 = 8,997.84/x
  3. Step 3: Cross multiply
    13,153.14x = 19,722.48 × 8,997.84
  4. Step 4: Simplify right side
    13,153.14x = 177,459,719.44
  5. Step 5: Solve for x
    x = 177,459,719.44/13,153.14
  6. Step 6: Final answer
    x = 13,491.81

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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.