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Finding the Fourth Proportional to 16,544.64, 24,821.14 and 4,857.86

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Solution

The fourth proportional to 16,544.64, 24,821.14 and 4,857.86 is: 7,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.64 : 24,821.14 = 4,857.86 : x
  2. Step 2: Convert to fraction form
    16,544.64/24,821.14 = 4,857.86/x
  3. Step 3: Cross multiply
    16,544.64x = 24,821.14 × 4,857.86
  4. Step 4: Simplify right side
    16,544.64x = 120,577,623.16
  5. Step 5: Solve for x
    x = 120,577,623.16/16,544.64
  6. Step 6: Final answer
    x = 7,288.02

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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.