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Finding the Fourth Proportional to 22,426.26, 30,951.88 and 13,000.28

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Solution

The fourth proportional to 22,426.26, 30,951.88 and 13,000.28 is: 17,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,426.26 : 30,951.88 = 13,000.28 : x
  2. Step 2: Convert to fraction form
    22,426.26/30,951.88 = 13,000.28/x
  3. Step 3: Cross multiply
    22,426.26x = 30,951.88 × 13,000.28
  4. Step 4: Simplify right side
    22,426.26x = 402,383,106.53
  5. Step 5: Solve for x
    x = 402,383,106.53/22,426.26
  6. Step 6: Final answer
    x = 17,942.50

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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.