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Finding the Fourth Proportional to 12,726.84, 17,559.44 and 8,250.78

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Solution

The fourth proportional to 12,726.84, 17,559.44 and 8,250.78 is: 11,383.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.84 : 17,559.44 = 8,250.78 : x
  2. Step 2: Convert to fraction form
    12,726.84/17,559.44 = 8,250.78/x
  3. Step 3: Cross multiply
    12,726.84x = 17,559.44 × 8,250.78
  4. Step 4: Simplify right side
    12,726.84x = 144,879,076.36
  5. Step 5: Solve for x
    x = 144,879,076.36/12,726.84
  6. Step 6: Final answer
    x = 11,383.74

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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.