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Finding the Fourth Proportional to 13,414.06, 18,511.41 and 7,445.50

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Solution

The fourth proportional to 13,414.06, 18,511.41 and 7,445.50 is: 10,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.06 : 18,511.41 = 7,445.50 : x
  2. Step 2: Convert to fraction form
    13,414.06/18,511.41 = 7,445.50/x
  3. Step 3: Cross multiply
    13,414.06x = 18,511.41 × 7,445.50
  4. Step 4: Simplify right side
    13,414.06x = 137,826,703.16
  5. Step 5: Solve for x
    x = 137,826,703.16/13,414.06
  6. Step 6: Final answer
    x = 10,274.79

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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.