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Finding the Fourth Proportional to 14,549.94, 20,078.02 and 8,581.86

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Solution

The fourth proportional to 14,549.94, 20,078.02 and 8,581.86 is: 11,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.94 : 20,078.02 = 8,581.86 : x
  2. Step 2: Convert to fraction form
    14,549.94/20,078.02 = 8,581.86/x
  3. Step 3: Cross multiply
    14,549.94x = 20,078.02 × 8,581.86
  4. Step 4: Simplify right side
    14,549.94x = 172,306,756.72
  5. Step 5: Solve for x
    x = 172,306,756.72/14,549.94
  6. Step 6: Final answer
    x = 11,842.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.