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Finding the Fourth Proportional to 12,858.67, 17,746.61 and 7,193.73

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Solution

The fourth proportional to 12,858.67, 17,746.61 and 7,193.73 is: 9,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.67 : 17,746.61 = 7,193.73 : x
  2. Step 2: Convert to fraction form
    12,858.67/17,746.61 = 7,193.73/x
  3. Step 3: Cross multiply
    12,858.67x = 17,746.61 × 7,193.73
  4. Step 4: Simplify right side
    12,858.67x = 127,664,284.79
  5. Step 5: Solve for x
    x = 127,664,284.79/12,858.67
  6. Step 6: Final answer
    x = 9,928.27

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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.