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Finding the Fourth Proportional to 12,998.57, 17,938.14 and 8,282.75

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Solution

The fourth proportional to 12,998.57, 17,938.14 and 8,282.75 is: 11,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,998.57 : 17,938.14 = 8,282.75 : x
  2. Step 2: Convert to fraction form
    12,998.57/17,938.14 = 8,282.75/x
  3. Step 3: Cross multiply
    12,998.57x = 17,938.14 × 8,282.75
  4. Step 4: Simplify right side
    12,998.57x = 148,577,129.09
  5. Step 5: Solve for x
    x = 148,577,129.09/12,998.57
  6. Step 6: Final answer
    x = 11,430.27

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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.