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Finding the Fourth Proportional to 16,592.80, 24,896.40 and 8,384.80

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Solution

The fourth proportional to 16,592.80, 24,896.40 and 8,384.80 is: 12,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,592.80 : 24,896.40 = 8,384.80 : x
  2. Step 2: Convert to fraction form
    16,592.80/24,896.40 = 8,384.80/x
  3. Step 3: Cross multiply
    16,592.80x = 24,896.40 × 8,384.80
  4. Step 4: Simplify right side
    16,592.80x = 208,751,334.72
  5. Step 5: Solve for x
    x = 208,751,334.72/16,592.80
  6. Step 6: Final answer
    x = 12,580.84

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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.