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Finding the Fourth Proportional to 12,787.86, 17,645.64 and 7,121.18

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Solution

The fourth proportional to 12,787.86, 17,645.64 and 7,121.18 is: 9,826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.86 : 17,645.64 = 7,121.18 : x
  2. Step 2: Convert to fraction form
    12,787.86/17,645.64 = 7,121.18/x
  3. Step 3: Cross multiply
    12,787.86x = 17,645.64 × 7,121.18
  4. Step 4: Simplify right side
    12,787.86x = 125,657,778.66
  5. Step 5: Solve for x
    x = 125,657,778.66/12,787.86
  6. Step 6: Final answer
    x = 9,826.33

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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.