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Finding the Fourth Proportional to 13,563.86, 18,716.87 and 7,898.31

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Solution

The fourth proportional to 13,563.86, 18,716.87 and 7,898.31 is: 10,898.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.86 : 18,716.87 = 7,898.31 : x
  2. Step 2: Convert to fraction form
    13,563.86/18,716.87 = 7,898.31/x
  3. Step 3: Cross multiply
    13,563.86x = 18,716.87 × 7,898.31
  4. Step 4: Simplify right side
    13,563.86x = 147,831,661.24
  5. Step 5: Solve for x
    x = 147,831,661.24/13,563.86
  6. Step 6: Final answer
    x = 10,898.94

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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.