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Finding the Fourth Proportional to 13,114.37, 18,098.21 and 7,448.78

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Solution

The fourth proportional to 13,114.37, 18,098.21 and 7,448.78 is: 10,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.37 : 18,098.21 = 7,448.78 : x
  2. Step 2: Convert to fraction form
    13,114.37/18,098.21 = 7,448.78/x
  3. Step 3: Cross multiply
    13,114.37x = 18,098.21 × 7,448.78
  4. Step 4: Simplify right side
    13,114.37x = 134,809,456.95
  5. Step 5: Solve for x
    x = 134,809,456.95/13,114.37
  6. Step 6: Final answer
    x = 10,279.52

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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.