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Finding the Fourth Proportional to 12,787.21, 17,669.23 and 9,961.88

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Solution

The fourth proportional to 12,787.21, 17,669.23 and 9,961.88 is: 13,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.21 : 17,669.23 = 9,961.88 : x
  2. Step 2: Convert to fraction form
    12,787.21/17,669.23 = 9,961.88/x
  3. Step 3: Cross multiply
    12,787.21x = 17,669.23 × 9,961.88
  4. Step 4: Simplify right side
    12,787.21x = 176,018,748.95
  5. Step 5: Solve for x
    x = 176,018,748.95/12,787.21
  6. Step 6: Final answer
    x = 13,765.22

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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.