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Finding the Fourth Proportional to 18,433.16, 27,649.76 and 4,582.16

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Solution

The fourth proportional to 18,433.16, 27,649.76 and 4,582.16 is: 6,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433.16 : 27,649.76 = 4,582.16 : x
  2. Step 2: Convert to fraction form
    18,433.16/27,649.76 = 4,582.16/x
  3. Step 3: Cross multiply
    18,433.16x = 27,649.76 × 4,582.16
  4. Step 4: Simplify right side
    18,433.16x = 126,695,704.86
  5. Step 5: Solve for x
    x = 126,695,704.86/18,433.16
  6. Step 6: Final answer
    x = 6,873.25

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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.