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Finding the Fourth Proportional to 22,964.41, 31,690.59 and 12,892.59

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Solution

The fourth proportional to 22,964.41, 31,690.59 and 12,892.59 is: 17,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.41 : 31,690.59 = 12,892.59 : x
  2. Step 2: Convert to fraction form
    22,964.41/31,690.59 = 12,892.59/x
  3. Step 3: Cross multiply
    22,964.41x = 31,690.59 × 12,892.59
  4. Step 4: Simplify right side
    22,964.41x = 408,573,897.03
  5. Step 5: Solve for x
    x = 408,573,897.03/22,964.41
  6. Step 6: Final answer
    x = 17,791.61

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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.