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Finding the Fourth Proportional to 12,567.94, 17,338.89 and 8,091.07

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Solution

The fourth proportional to 12,567.94, 17,338.89 and 8,091.07 is: 11,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.94 : 17,338.89 = 8,091.07 : x
  2. Step 2: Convert to fraction form
    12,567.94/17,338.89 = 8,091.07/x
  3. Step 3: Cross multiply
    12,567.94x = 17,338.89 × 8,091.07
  4. Step 4: Simplify right side
    12,567.94x = 140,290,172.71
  5. Step 5: Solve for x
    x = 140,290,172.71/12,567.94
  6. Step 6: Final answer
    x = 11,162.54

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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.