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Finding the Fourth Proportional to 14,771.52, 20,375.64 and 9,736.20

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Solution

The fourth proportional to 14,771.52, 20,375.64 and 9,736.20 is: 13,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.52 : 20,375.64 = 9,736.20 : x
  2. Step 2: Convert to fraction form
    14,771.52/20,375.64 = 9,736.20/x
  3. Step 3: Cross multiply
    14,771.52x = 20,375.64 × 9,736.20
  4. Step 4: Simplify right side
    14,771.52x = 198,381,306.17
  5. Step 5: Solve for x
    x = 198,381,306.17/14,771.52
  6. Step 6: Final answer
    x = 13,429.99

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1.5x scale

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.