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Finding the Fourth Proportional to 13,688.25, 18,889.79 and 7,400.63

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Solution

The fourth proportional to 13,688.25, 18,889.79 and 7,400.63 is: 10,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,688.25 : 18,889.79 = 7,400.63 : x
  2. Step 2: Convert to fraction form
    13,688.25/18,889.79 = 7,400.63/x
  3. Step 3: Cross multiply
    13,688.25x = 18,889.79 × 7,400.63
  4. Step 4: Simplify right side
    13,688.25x = 139,796,215.12
  5. Step 5: Solve for x
    x = 139,796,215.12/13,688.25
  6. Step 6: Final answer
    x = 10,212.86

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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.