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Finding the Fourth Proportional to 28,105.60, 42,166.64 and 8,384.80

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Solution

The fourth proportional to 28,105.60, 42,166.64 and 8,384.80 is: 12,579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,105.60 : 42,166.64 = 8,384.80 : x
  2. Step 2: Convert to fraction form
    28,105.60/42,166.64 = 8,384.80/x
  3. Step 3: Cross multiply
    28,105.60x = 42,166.64 × 8,384.80
  4. Step 4: Simplify right side
    28,105.60x = 353,558,843.07
  5. Step 5: Solve for x
    x = 353,558,843.07/28,105.60
  6. Step 6: Final answer
    x = 12,579.66

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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.