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Finding the Fourth Proportional to 12,678.48, 17,500.04 and 8,202.40

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Solution

The fourth proportional to 12,678.48, 17,500.04 and 8,202.40 is: 11,321.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.48 : 17,500.04 = 8,202.40 : x
  2. Step 2: Convert to fraction form
    12,678.48/17,500.04 = 8,202.40/x
  3. Step 3: Cross multiply
    12,678.48x = 17,500.04 × 8,202.40
  4. Step 4: Simplify right side
    12,678.48x = 143,542,328.10
  5. Step 5: Solve for x
    x = 143,542,328.10/12,678.48
  6. Step 6: Final answer
    x = 11,321.73

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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.