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Finding the Fourth Proportional to 22,315.26, 33,472.88 and 8,464.26

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Solution

The fourth proportional to 22,315.26, 33,472.88 and 8,464.26 is: 12,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315.26 : 33,472.88 = 8,464.26 : x
  2. Step 2: Convert to fraction form
    22,315.26/33,472.88 = 8,464.26/x
  3. Step 3: Cross multiply
    22,315.26x = 33,472.88 × 8,464.26
  4. Step 4: Simplify right side
    22,315.26x = 283,323,159.27
  5. Step 5: Solve for x
    x = 283,323,159.27/22,315.26
  6. Step 6: Final answer
    x = 12,696.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.