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Finding the Fourth Proportional to 12,775.25, 17,628.62 and 9,419.87

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Solution

The fourth proportional to 12,775.25, 17,628.62 and 9,419.87 is: 12,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.25 : 17,628.62 = 9,419.87 : x
  2. Step 2: Convert to fraction form
    12,775.25/17,628.62 = 9,419.87/x
  3. Step 3: Cross multiply
    12,775.25x = 17,628.62 × 9,419.87
  4. Step 4: Simplify right side
    12,775.25x = 166,059,308.68
  5. Step 5: Solve for x
    x = 166,059,308.68/12,775.25
  6. Step 6: Final answer
    x = 12,998.52

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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.