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Finding the Fourth Proportional to 16,206.57, 24,282.20 and 11,503.31

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Solution

The fourth proportional to 16,206.57, 24,282.20 and 11,503.31 is: 17,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.57 : 24,282.20 = 11,503.31 : x
  2. Step 2: Convert to fraction form
    16,206.57/24,282.20 = 11,503.31/x
  3. Step 3: Cross multiply
    16,206.57x = 24,282.20 × 11,503.31
  4. Step 4: Simplify right side
    16,206.57x = 279,325,495.15
  5. Step 5: Solve for x
    x = 279,325,495.15/16,206.57
  6. Step 6: Final answer
    x = 17,235.32

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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.