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Finding the Fourth Proportional to 12,800.82, 17,654.28 and 8,322.32

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Solution

The fourth proportional to 12,800.82, 17,654.28 and 8,322.32 is: 11,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.82 : 17,654.28 = 8,322.32 : x
  2. Step 2: Convert to fraction form
    12,800.82/17,654.28 = 8,322.32/x
  3. Step 3: Cross multiply
    12,800.82x = 17,654.28 × 8,322.32
  4. Step 4: Simplify right side
    12,800.82x = 146,924,567.53
  5. Step 5: Solve for x
    x = 146,924,567.53/12,800.82
  6. Step 6: Final answer
    x = 11,477.75

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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.