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Finding the Fourth Proportional to 12,767.83, 17,618.64 and 7,102.43

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Solution

The fourth proportional to 12,767.83, 17,618.64 and 7,102.43 is: 9,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.83 : 17,618.64 = 7,102.43 : x
  2. Step 2: Convert to fraction form
    12,767.83/17,618.64 = 7,102.43/x
  3. Step 3: Cross multiply
    12,767.83x = 17,618.64 × 7,102.43
  4. Step 4: Simplify right side
    12,767.83x = 125,135,227.72
  5. Step 5: Solve for x
    x = 125,135,227.72/12,767.83
  6. Step 6: Final answer
    x = 9,800.82

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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.