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Finding the Fourth Proportional to 16,205.33, 24,269.11 and 9,265.25

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Solution

The fourth proportional to 16,205.33, 24,269.11 and 9,265.25 is: 13,875.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.33 : 24,269.11 = 9,265.25 : x
  2. Step 2: Convert to fraction form
    16,205.33/24,269.11 = 9,265.25/x
  3. Step 3: Cross multiply
    16,205.33x = 24,269.11 × 9,265.25
  4. Step 4: Simplify right side
    16,205.33x = 224,859,371.43
  5. Step 5: Solve for x
    x = 224,859,371.43/16,205.33
  6. Step 6: Final answer
    x = 13,875.64

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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.