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Finding the Fourth Proportional to 13,564.96, 18,716.54 and 7,898.44

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Solution

The fourth proportional to 13,564.96, 18,716.54 and 7,898.44 is: 10,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564.96 : 18,716.54 = 7,898.44 : x
  2. Step 2: Convert to fraction form
    13,564.96/18,716.54 = 7,898.44/x
  3. Step 3: Cross multiply
    13,564.96x = 18,716.54 × 7,898.44
  4. Step 4: Simplify right side
    13,564.96x = 147,831,468.20
  5. Step 5: Solve for x
    x = 147,831,468.20/13,564.96
  6. Step 6: Final answer
    x = 10,898.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.