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Finding the Fourth Proportional to 13,383.53, 18,470.27 and 7,415.75

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Solution

The fourth proportional to 13,383.53, 18,470.27 and 7,415.75 is: 10,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.53 : 18,470.27 = 7,415.75 : x
  2. Step 2: Convert to fraction form
    13,383.53/18,470.27 = 7,415.75/x
  3. Step 3: Cross multiply
    13,383.53x = 18,470.27 × 7,415.75
  4. Step 4: Simplify right side
    13,383.53x = 136,970,775.32
  5. Step 5: Solve for x
    x = 136,970,775.32/13,383.53
  6. Step 6: Final answer
    x = 10,234.28

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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.