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Finding the Fourth Proportional to 12,038.58, 18,067.23 and 7,877.43

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Solution

The fourth proportional to 12,038.58, 18,067.23 and 7,877.43 is: 11,822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.58 : 18,067.23 = 7,877.43 : x
  2. Step 2: Convert to fraction form
    12,038.58/18,067.23 = 7,877.43/x
  3. Step 3: Cross multiply
    12,038.58x = 18,067.23 × 7,877.43
  4. Step 4: Simplify right side
    12,038.58x = 142,323,339.62
  5. Step 5: Solve for x
    x = 142,323,339.62/12,038.58
  6. Step 6: Final answer
    x = 11,822.27

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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.