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Finding the Fourth Proportional to 16,223.22, 24,329.88 and 8,427.78

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Solution

The fourth proportional to 16,223.22, 24,329.88 and 8,427.78 is: 12,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.22 : 24,329.88 = 8,427.78 : x
  2. Step 2: Convert to fraction form
    16,223.22/24,329.88 = 8,427.78/x
  3. Step 3: Cross multiply
    16,223.22x = 24,329.88 × 8,427.78
  4. Step 4: Simplify right side
    16,223.22x = 205,046,876.07
  5. Step 5: Solve for x
    x = 205,046,876.07/16,223.22
  6. Step 6: Final answer
    x = 12,639.10

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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.