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Finding the Fourth Proportional to 12,855.51, 17,735.37 and 8,377.63

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Solution

The fourth proportional to 12,855.51, 17,735.37 and 8,377.63 is: 11,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.51 : 17,735.37 = 8,377.63 : x
  2. Step 2: Convert to fraction form
    12,855.51/17,735.37 = 8,377.63/x
  3. Step 3: Cross multiply
    12,855.51x = 17,735.37 × 8,377.63
  4. Step 4: Simplify right side
    12,855.51x = 148,580,367.77
  5. Step 5: Solve for x
    x = 148,580,367.77/12,855.51
  6. Step 6: Final answer
    x = 11,557.72

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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.