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Finding the Fourth Proportional to 16,220.37, 24,312.78 and 6,348.80

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Solution

The fourth proportional to 16,220.37, 24,312.78 and 6,348.80 is: 9,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.37 : 24,312.78 = 6,348.80 : x
  2. Step 2: Convert to fraction form
    16,220.37/24,312.78 = 6,348.80/x
  3. Step 3: Cross multiply
    16,220.37x = 24,312.78 × 6,348.80
  4. Step 4: Simplify right side
    16,220.37x = 154,356,977.66
  5. Step 5: Solve for x
    x = 154,356,977.66/16,220.37
  6. Step 6: Final answer
    x = 9,516.24

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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.