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Finding the Fourth Proportional to 16,268.64, 24,400.80 and 4,582.80

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Solution

The fourth proportional to 16,268.64, 24,400.80 and 4,582.80 is: 6,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.64 : 24,400.80 = 4,582.80 : x
  2. Step 2: Convert to fraction form
    16,268.64/24,400.80 = 4,582.80/x
  3. Step 3: Cross multiply
    16,268.64x = 24,400.80 × 4,582.80
  4. Step 4: Simplify right side
    16,268.64x = 111,823,986.24
  5. Step 5: Solve for x
    x = 111,823,986.24/16,268.64
  6. Step 6: Final answer
    x = 6,873.59

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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.