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Finding the Fourth Proportional to 12,813.88, 19,201.38 and 9,511.54

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Solution

The fourth proportional to 12,813.88, 19,201.38 and 9,511.54 is: 14,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.88 : 19,201.38 = 9,511.54 : x
  2. Step 2: Convert to fraction form
    12,813.88/19,201.38 = 9,511.54/x
  3. Step 3: Cross multiply
    12,813.88x = 19,201.38 × 9,511.54
  4. Step 4: Simplify right side
    12,813.88x = 182,634,693.93
  5. Step 5: Solve for x
    x = 182,634,693.93/12,813.88
  6. Step 6: Final answer
    x = 14,252.88

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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.