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Finding the Fourth Proportional to 13,763.04, 18,997.84 and 8,174

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Solution

The fourth proportional to 13,763.04, 18,997.84 and 8,174 is: 11,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,763.04 : 18,997.84 = 8,174 : x
  2. Step 2: Convert to fraction form
    13,763.04/18,997.84 = 8,174/x
  3. Step 3: Cross multiply
    13,763.04x = 18,997.84 × 8,174
  4. Step 4: Simplify right side
    13,763.04x = 155,288,344.16
  5. Step 5: Solve for x
    x = 155,288,344.16/13,763.04
  6. Step 6: Final answer
    x = 11,283.00

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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.