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Finding the Fourth Proportional to 13,415.23, 18,512.88 and 7,446.75

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Solution

The fourth proportional to 13,415.23, 18,512.88 and 7,446.75 is: 10,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.23 : 18,512.88 = 7,446.75 : x
  2. Step 2: Convert to fraction form
    13,415.23/18,512.88 = 7,446.75/x
  3. Step 3: Cross multiply
    13,415.23x = 18,512.88 × 7,446.75
  4. Step 4: Simplify right side
    13,415.23x = 137,860,789.14
  5. Step 5: Solve for x
    x = 137,860,789.14/13,415.23
  6. Step 6: Final answer
    x = 10,276.44

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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.