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Finding the Fourth Proportional to 13,204.84, 18,224.10 and 8,424.91

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Solution

The fourth proportional to 13,204.84, 18,224.10 and 8,424.91 is: 11,627.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.84 : 18,224.10 = 8,424.91 : x
  2. Step 2: Convert to fraction form
    13,204.84/18,224.10 = 8,424.91/x
  3. Step 3: Cross multiply
    13,204.84x = 18,224.10 × 8,424.91
  4. Step 4: Simplify right side
    13,204.84x = 153,536,402.33
  5. Step 5: Solve for x
    x = 153,536,402.33/13,204.84
  6. Step 6: Final answer
    x = 11,627.28

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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.