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Finding the Fourth Proportional to 13,768.56, 19,000.17 and 7,800.21

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Solution

The fourth proportional to 13,768.56, 19,000.17 and 7,800.21 is: 10,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.56 : 19,000.17 = 7,800.21 : x
  2. Step 2: Convert to fraction form
    13,768.56/19,000.17 = 7,800.21/x
  3. Step 3: Cross multiply
    13,768.56x = 19,000.17 × 7,800.21
  4. Step 4: Simplify right side
    13,768.56x = 148,205,316.04
  5. Step 5: Solve for x
    x = 148,205,316.04/13,768.56
  6. Step 6: Final answer
    x = 10,764.04

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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.