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Finding the Fourth Proportional to 13,415.31, 18,512.98 and 7,447.03

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Solution

The fourth proportional to 13,415.31, 18,512.98 and 7,447.03 is: 10,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.31 : 18,512.98 = 7,447.03 : x
  2. Step 2: Convert to fraction form
    13,415.31/18,512.98 = 7,447.03/x
  3. Step 3: Cross multiply
    13,415.31x = 18,512.98 × 7,447.03
  4. Step 4: Simplify right side
    13,415.31x = 137,866,717.45
  5. Step 5: Solve for x
    x = 137,866,717.45/13,415.31
  6. Step 6: Final answer
    x = 10,276.82

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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.