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Finding the Fourth Proportional to 12,900.57, 17,796.22 and 8,426.94

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Solution

The fourth proportional to 12,900.57, 17,796.22 and 8,426.94 is: 11,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.57 : 17,796.22 = 8,426.94 : x
  2. Step 2: Convert to fraction form
    12,900.57/17,796.22 = 8,426.94/x
  3. Step 3: Cross multiply
    12,900.57x = 17,796.22 × 8,426.94
  4. Step 4: Simplify right side
    12,900.57x = 149,967,637.77
  5. Step 5: Solve for x
    x = 149,967,637.77/12,900.57
  6. Step 6: Final answer
    x = 11,624.89

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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.