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Finding the Fourth Proportional to 12,686.79, 17,507.41 and 7,021.78

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Solution

The fourth proportional to 12,686.79, 17,507.41 and 7,021.78 is: 9,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.79 : 17,507.41 = 7,021.78 : x
  2. Step 2: Convert to fraction form
    12,686.79/17,507.41 = 7,021.78/x
  3. Step 3: Cross multiply
    12,686.79x = 17,507.41 × 7,021.78
  4. Step 4: Simplify right side
    12,686.79x = 122,933,181.39
  5. Step 5: Solve for x
    x = 122,933,181.39/12,686.79
  6. Step 6: Final answer
    x = 9,689.86

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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.