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Finding the Fourth Proportional to 13,415.29, 18,512.17 and 7,446.49

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Solution

The fourth proportional to 13,415.29, 18,512.17 and 7,446.49 is: 10,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.29 : 18,512.17 = 7,446.49 : x
  2. Step 2: Convert to fraction form
    13,415.29/18,512.17 = 7,446.49/x
  3. Step 3: Cross multiply
    13,415.29x = 18,512.17 × 7,446.49
  4. Step 4: Simplify right side
    13,415.29x = 137,850,651.81
  5. Step 5: Solve for x
    x = 137,850,651.81/13,415.29
  6. Step 6: Final answer
    x = 10,275.64

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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.