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Finding the Fourth Proportional to 13,208.54, 18,233.64 and 8,434.73

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Solution

The fourth proportional to 13,208.54, 18,233.64 and 8,434.73 is: 11,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.54 : 18,233.64 = 8,434.73 : x
  2. Step 2: Convert to fraction form
    13,208.54/18,233.64 = 8,434.73/x
  3. Step 3: Cross multiply
    13,208.54x = 18,233.64 × 8,434.73
  4. Step 4: Simplify right side
    13,208.54x = 153,795,875.90
  5. Step 5: Solve for x
    x = 153,795,875.90/13,208.54
  6. Step 6: Final answer
    x = 11,643.67

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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.