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Finding the Fourth Proportional to 13,220.97, 18,244.89 and 8,184.20

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Solution

The fourth proportional to 13,220.97, 18,244.89 and 8,184.20 is: 11,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.97 : 18,244.89 = 8,184.20 : x
  2. Step 2: Convert to fraction form
    13,220.97/18,244.89 = 8,184.20/x
  3. Step 3: Cross multiply
    13,220.97x = 18,244.89 × 8,184.20
  4. Step 4: Simplify right side
    13,220.97x = 149,319,737.51
  5. Step 5: Solve for x
    x = 149,319,737.51/13,220.97
  6. Step 6: Final answer
    x = 11,294.16

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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.