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Finding the Fourth Proportional to 13,193.63, 18,205.54 and 10,511.65

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Solution

The fourth proportional to 13,193.63, 18,205.54 and 10,511.65 is: 14,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.63 : 18,205.54 = 10,511.65 : x
  2. Step 2: Convert to fraction form
    13,193.63/18,205.54 = 10,511.65/x
  3. Step 3: Cross multiply
    13,193.63x = 18,205.54 × 10,511.65
  4. Step 4: Simplify right side
    13,193.63x = 191,370,264.54
  5. Step 5: Solve for x
    x = 191,370,264.54/13,193.63
  6. Step 6: Final answer
    x = 14,504.75

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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.