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Finding the Fourth Proportional to 13,386.75, 18,450.64 and 8,902.48

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Solution

The fourth proportional to 13,386.75, 18,450.64 and 8,902.48 is: 12,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.75 : 18,450.64 = 8,902.48 : x
  2. Step 2: Convert to fraction form
    13,386.75/18,450.64 = 8,902.48/x
  3. Step 3: Cross multiply
    13,386.75x = 18,450.64 × 8,902.48
  4. Step 4: Simplify right side
    13,386.75x = 164,256,453.59
  5. Step 5: Solve for x
    x = 164,256,453.59/13,386.75
  6. Step 6: Final answer
    x = 12,270.08

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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.