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Finding the Fourth Proportional to 22,768.30, 31,420.12 and 12,696.86

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Solution

The fourth proportional to 22,768.30, 31,420.12 and 12,696.86 is: 17,521.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.30 : 31,420.12 = 12,696.86 : x
  2. Step 2: Convert to fraction form
    22,768.30/31,420.12 = 12,696.86/x
  3. Step 3: Cross multiply
    22,768.30x = 31,420.12 × 12,696.86
  4. Step 4: Simplify right side
    22,768.30x = 398,936,864.82
  5. Step 5: Solve for x
    x = 398,936,864.82/22,768.30
  6. Step 6: Final answer
    x = 17,521.59

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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.