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Finding the Fourth Proportional to 13,076.49, 19,611.09 and 9,348.06

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Solution

The fourth proportional to 13,076.49, 19,611.09 and 9,348.06 is: 14,019.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.49 : 19,611.09 = 9,348.06 : x
  2. Step 2: Convert to fraction form
    13,076.49/19,611.09 = 9,348.06/x
  3. Step 3: Cross multiply
    13,076.49x = 19,611.09 × 9,348.06
  4. Step 4: Simplify right side
    13,076.49x = 183,325,645.99
  5. Step 5: Solve for x
    x = 183,325,645.99/13,076.49
  6. Step 6: Final answer
    x = 14,019.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.