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Finding the Fourth Proportional to 16,546.80, 24,820 and 4,859.60

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Solution

The fourth proportional to 16,546.80, 24,820 and 4,859.60 is: 7,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.80 : 24,820 = 4,859.60 : x
  2. Step 2: Convert to fraction form
    16,546.80/24,820 = 4,859.60/x
  3. Step 3: Cross multiply
    16,546.80x = 24,820 × 4,859.60
  4. Step 4: Simplify right side
    16,546.80x = 120,615,272.00
  5. Step 5: Solve for x
    x = 120,615,272.00/16,546.80
  6. Step 6: Final answer
    x = 7,289.34

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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.