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Finding the Fourth Proportional to 16,205.74, 24,269.42 and 13,411.85

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Solution

The fourth proportional to 16,205.74, 24,269.42 and 13,411.85 is: 20,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.74 : 24,269.42 = 13,411.85 : x
  2. Step 2: Convert to fraction form
    16,205.74/24,269.42 = 13,411.85/x
  3. Step 3: Cross multiply
    16,205.74x = 24,269.42 × 13,411.85
  4. Step 4: Simplify right side
    16,205.74x = 325,497,732.81
  5. Step 5: Solve for x
    x = 325,497,732.81/16,205.74
  6. Step 6: Final answer
    x = 20,085.34

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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.