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Finding the Fourth Proportional to 12,767.02, 17,620.07 and 7,178.02

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Solution

The fourth proportional to 12,767.02, 17,620.07 and 7,178.02 is: 9,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.02 : 17,620.07 = 7,178.02 : x
  2. Step 2: Convert to fraction form
    12,767.02/17,620.07 = 7,178.02/x
  3. Step 3: Cross multiply
    12,767.02x = 17,620.07 × 7,178.02
  4. Step 4: Simplify right side
    12,767.02x = 126,477,214.86
  5. Step 5: Solve for x
    x = 126,477,214.86/12,767.02
  6. Step 6: Final answer
    x = 9,906.56

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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.