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Finding the Fourth Proportional to 13,688.39, 18,889.98 and 7,400.75

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Solution

The fourth proportional to 13,688.39, 18,889.98 and 7,400.75 is: 10,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.39 : 18,889.98 = 7,400.75 : x
  2. Step 2: Convert to fraction form
    13,688.39/18,889.98 = 7,400.75/x
  3. Step 3: Cross multiply
    13,688.39x = 18,889.98 × 7,400.75
  4. Step 4: Simplify right side
    13,688.39x = 139,800,019.49
  5. Step 5: Solve for x
    x = 139,800,019.49/13,688.39
  6. Step 6: Final answer
    x = 10,213.04

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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.