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Finding the Fourth Proportional to 11,206.81, 15,455.23 and 9,205.57

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Solution

The fourth proportional to 11,206.81, 15,455.23 and 9,205.57 is: 12,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.81 : 15,455.23 = 9,205.57 : x
  2. Step 2: Convert to fraction form
    11,206.81/15,455.23 = 9,205.57/x
  3. Step 3: Cross multiply
    11,206.81x = 15,455.23 × 9,205.57
  4. Step 4: Simplify right side
    11,206.81x = 142,274,201.63
  5. Step 5: Solve for x
    x = 142,274,201.63/11,206.81
  6. Step 6: Final answer
    x = 12,695.33

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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.