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Finding the Fourth Proportional to 16,301.57, 24,457.03 and 5,209.97

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Solution

The fourth proportional to 16,301.57, 24,457.03 and 5,209.97 is: 7,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.57 : 24,457.03 = 5,209.97 : x
  2. Step 2: Convert to fraction form
    16,301.57/24,457.03 = 5,209.97/x
  3. Step 3: Cross multiply
    16,301.57x = 24,457.03 × 5,209.97
  4. Step 4: Simplify right side
    16,301.57x = 127,420,257.28
  5. Step 5: Solve for x
    x = 127,420,257.28/16,301.57
  6. Step 6: Final answer
    x = 7,816.44

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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.