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Finding the Fourth Proportional to 13,415.06, 18,512.64 and 7,446.78

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Solution

The fourth proportional to 13,415.06, 18,512.64 and 7,446.78 is: 10,276.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.06 : 18,512.64 = 7,446.78 : x
  2. Step 2: Convert to fraction form
    13,415.06/18,512.64 = 7,446.78/x
  3. Step 3: Cross multiply
    13,415.06x = 18,512.64 × 7,446.78
  4. Step 4: Simplify right side
    13,415.06x = 137,859,557.30
  5. Step 5: Solve for x
    x = 137,859,557.30/13,415.06
  6. Step 6: Final answer
    x = 10,276.48

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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.