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Finding the Fourth Proportional to 13,414.64, 18,511.32 and 7,446.30

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Solution

The fourth proportional to 13,414.64, 18,511.32 and 7,446.30 is: 10,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.64 : 18,511.32 = 7,446.30 : x
  2. Step 2: Convert to fraction form
    13,414.64/18,511.32 = 7,446.30/x
  3. Step 3: Cross multiply
    13,414.64x = 18,511.32 × 7,446.30
  4. Step 4: Simplify right side
    13,414.64x = 137,840,842.12
  5. Step 5: Solve for x
    x = 137,840,842.12/13,414.64
  6. Step 6: Final answer
    x = 10,275.41

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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.