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Finding the Fourth Proportional to 16,282.40, 24,412.64 and 5,892.80

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Solution

The fourth proportional to 16,282.40, 24,412.64 and 5,892.80 is: 8,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.40 : 24,412.64 = 5,892.80 : x
  2. Step 2: Convert to fraction form
    16,282.40/24,412.64 = 5,892.80/x
  3. Step 3: Cross multiply
    16,282.40x = 24,412.64 × 5,892.80
  4. Step 4: Simplify right side
    16,282.40x = 143,858,804.99
  5. Step 5: Solve for x
    x = 143,858,804.99/16,282.40
  6. Step 6: Final answer
    x = 8,835.23

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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.