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Finding the Fourth Proportional to 12,726.49, 17,558.47 and 7,692.20

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Solution

The fourth proportional to 12,726.49, 17,558.47 and 7,692.20 is: 10,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.49 : 17,558.47 = 7,692.20 : x
  2. Step 2: Convert to fraction form
    12,726.49/17,558.47 = 7,692.20/x
  3. Step 3: Cross multiply
    12,726.49x = 17,558.47 × 7,692.20
  4. Step 4: Simplify right side
    12,726.49x = 135,063,262.93
  5. Step 5: Solve for x
    x = 135,063,262.93/12,726.49
  6. Step 6: Final answer
    x = 10,612.77

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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.