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Finding the Fourth Proportional to 16,070.14, 24,105.39 and 5,674.60

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Solution

The fourth proportional to 16,070.14, 24,105.39 and 5,674.60 is: 8,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.14 : 24,105.39 = 5,674.60 : x
  2. Step 2: Convert to fraction form
    16,070.14/24,105.39 = 5,674.60/x
  3. Step 3: Cross multiply
    16,070.14x = 24,105.39 × 5,674.60
  4. Step 4: Simplify right side
    16,070.14x = 136,788,446.09
  5. Step 5: Solve for x
    x = 136,788,446.09/16,070.14
  6. Step 6: Final answer
    x = 8,511.96

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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.