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Finding the Fourth Proportional to 12,932.82, 17,847.48 and 7,627.64

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Solution

The fourth proportional to 12,932.82, 17,847.48 and 7,627.64 is: 10,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,932.82 : 17,847.48 = 7,627.64 : x
  2. Step 2: Convert to fraction form
    12,932.82/17,847.48 = 7,627.64/x
  3. Step 3: Cross multiply
    12,932.82x = 17,847.48 × 7,627.64
  4. Step 4: Simplify right side
    12,932.82x = 136,134,063.11
  5. Step 5: Solve for x
    x = 136,134,063.11/12,932.82
  6. Step 6: Final answer
    x = 10,526.25

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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.