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Finding the Fourth Proportional to 13,688.75, 18,892.40 and 8,313.90

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Solution

The fourth proportional to 13,688.75, 18,892.40 and 8,313.90 is: 11,474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.75 : 18,892.40 = 8,313.90 : x
  2. Step 2: Convert to fraction form
    13,688.75/18,892.40 = 8,313.90/x
  3. Step 3: Cross multiply
    13,688.75x = 18,892.40 × 8,313.90
  4. Step 4: Simplify right side
    13,688.75x = 157,069,524.36
  5. Step 5: Solve for x
    x = 157,069,524.36/13,688.75
  6. Step 6: Final answer
    x = 11,474.35

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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.