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Finding the Fourth Proportional to 12,730.73, 17,564.42 and 7,352.48

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Solution

The fourth proportional to 12,730.73, 17,564.42 and 7,352.48 is: 10,144.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.73 : 17,564.42 = 7,352.48 : x
  2. Step 2: Convert to fraction form
    12,730.73/17,564.42 = 7,352.48/x
  3. Step 3: Cross multiply
    12,730.73x = 17,564.42 × 7,352.48
  4. Step 4: Simplify right side
    12,730.73x = 129,141,922.18
  5. Step 5: Solve for x
    x = 129,141,922.18/12,730.73
  6. Step 6: Final answer
    x = 10,144.11

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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.