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Finding the Fourth Proportional to 12,443.82, 17,188.83 and 9,294.54

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Solution

The fourth proportional to 12,443.82, 17,188.83 and 9,294.54 is: 12,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.82 : 17,188.83 = 9,294.54 : x
  2. Step 2: Convert to fraction form
    12,443.82/17,188.83 = 9,294.54/x
  3. Step 3: Cross multiply
    12,443.82x = 17,188.83 × 9,294.54
  4. Step 4: Simplify right side
    12,443.82x = 159,762,267.99
  5. Step 5: Solve for x
    x = 159,762,267.99/12,443.82
  6. Step 6: Final answer
    x = 12,838.68

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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.