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Finding the Fourth Proportional to 20,309.40, 30,464.10 and 9,941.40

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Solution

The fourth proportional to 20,309.40, 30,464.10 and 9,941.40 is: 14,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309.40 : 30,464.10 = 9,941.40 : x
  2. Step 2: Convert to fraction form
    20,309.40/30,464.10 = 9,941.40/x
  3. Step 3: Cross multiply
    20,309.40x = 30,464.10 × 9,941.40
  4. Step 4: Simplify right side
    20,309.40x = 302,855,803.74
  5. Step 5: Solve for x
    x = 302,855,803.74/20,309.40
  6. Step 6: Final answer
    x = 14,912.10

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Similar ratio
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1.5x scale

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.