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Finding the Fourth Proportional to 22,764.64, 31,414 and 12,828

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Solution

The fourth proportional to 22,764.64, 31,414 and 12,828 is: 17,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.64 : 31,414 = 12,828 : x
  2. Step 2: Convert to fraction form
    22,764.64/31,414 = 12,828/x
  3. Step 3: Cross multiply
    22,764.64x = 31,414 × 12,828
  4. Step 4: Simplify right side
    22,764.64x = 402,978,792
  5. Step 5: Solve for x
    x = 402,978,792/22,764.64
  6. Step 6: Final answer
    x = 17,701.96

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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.