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Finding the Fourth Proportional to 13,415.05, 18,511.85 and 7,446.25

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Solution

The fourth proportional to 13,415.05, 18,511.85 and 7,446.25 is: 10,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.05 : 18,511.85 = 7,446.25 : x
  2. Step 2: Convert to fraction form
    13,415.05/18,511.85 = 7,446.25/x
  3. Step 3: Cross multiply
    13,415.05x = 18,511.85 × 7,446.25
  4. Step 4: Simplify right side
    13,415.05x = 137,843,879.16
  5. Step 5: Solve for x
    x = 137,843,879.16/13,415.05
  6. Step 6: Final answer
    x = 10,275.31

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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.