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Finding the Fourth Proportional to 14,553, 20,086.38 and 9,246.78

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Solution

The fourth proportional to 14,553, 20,086.38 and 9,246.78 is: 12,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,553 : 20,086.38 = 9,246.78 : x
  2. Step 2: Convert to fraction form
    14,553/20,086.38 = 9,246.78/x
  3. Step 3: Cross multiply
    14,553x = 20,086.38 × 9,246.78
  4. Step 4: Simplify right side
    14,553x = 185,734,336.86
  5. Step 5: Solve for x
    x = 185,734,336.86/14,553
  6. Step 6: Final answer
    x = 12,762.62

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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.