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Finding the Fourth Proportional to 12,365.73, 17,066.57 and 9,732.96

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Solution

The fourth proportional to 12,365.73, 17,066.57 and 9,732.96 is: 13,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.73 : 17,066.57 = 9,732.96 : x
  2. Step 2: Convert to fraction form
    12,365.73/17,066.57 = 9,732.96/x
  3. Step 3: Cross multiply
    12,365.73x = 17,066.57 × 9,732.96
  4. Step 4: Simplify right side
    12,365.73x = 166,108,194.48
  5. Step 5: Solve for x
    x = 166,108,194.48/12,365.73
  6. Step 6: Final answer
    x = 13,432.95

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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.