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Finding the Fourth Proportional to 16,510, 24,765 and 4,823.32

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Solution

The fourth proportional to 16,510, 24,765 and 4,823.32 is: 7,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510 : 24,765 = 4,823.32 : x
  2. Step 2: Convert to fraction form
    16,510/24,765 = 4,823.32/x
  3. Step 3: Cross multiply
    16,510x = 24,765 × 4,823.32
  4. Step 4: Simplify right side
    16,510x = 119,449,519.80
  5. Step 5: Solve for x
    x = 119,449,519.80/16,510
  6. Step 6: Final answer
    x = 7,234.98

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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.