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Finding the Fourth Proportional to 19,771.81, 27,256.71 and 14,096.71

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Solution

The fourth proportional to 19,771.81, 27,256.71 and 14,096.71 is: 19,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,771.81 : 27,256.71 = 14,096.71 : x
  2. Step 2: Convert to fraction form
    19,771.81/27,256.71 = 14,096.71/x
  3. Step 3: Cross multiply
    19,771.81x = 27,256.71 × 14,096.71
  4. Step 4: Simplify right side
    19,771.81x = 384,229,936.42
  5. Step 5: Solve for x
    x = 384,229,936.42/19,771.81
  6. Step 6: Final answer
    x = 19,433.22

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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.