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Finding the Fourth Proportional to 13,175.30, 19,776.86 and 12,877.82

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Solution

The fourth proportional to 13,175.30, 19,776.86 and 12,877.82 is: 19,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.30 : 19,776.86 = 12,877.82 : x
  2. Step 2: Convert to fraction form
    13,175.30/19,776.86 = 12,877.82/x
  3. Step 3: Cross multiply
    13,175.30x = 19,776.86 × 12,877.82
  4. Step 4: Simplify right side
    13,175.30x = 254,682,843.25
  5. Step 5: Solve for x
    x = 254,682,843.25/13,175.30
  6. Step 6: Final answer
    x = 19,330.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.