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Finding the Fourth Proportional to 16,529.62, 24,792 and 5,435.86

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Solution

The fourth proportional to 16,529.62, 24,792 and 5,435.86 is: 8,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,529.62 : 24,792 = 5,435.86 : x
  2. Step 2: Convert to fraction form
    16,529.62/24,792 = 5,435.86/x
  3. Step 3: Cross multiply
    16,529.62x = 24,792 × 5,435.86
  4. Step 4: Simplify right side
    16,529.62x = 134,765,841.12
  5. Step 5: Solve for x
    x = 134,765,841.12/16,529.62
  6. Step 6: Final answer
    x = 8,152.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.