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Finding the Fourth Proportional to 14,614.94, 20,171.14 and 14,128.94

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Solution

The fourth proportional to 14,614.94, 20,171.14 and 14,128.94 is: 19,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614.94 : 20,171.14 = 14,128.94 : x
  2. Step 2: Convert to fraction form
    14,614.94/20,171.14 = 14,128.94/x
  3. Step 3: Cross multiply
    14,614.94x = 20,171.14 × 14,128.94
  4. Step 4: Simplify right side
    14,614.94x = 284,996,826.79
  5. Step 5: Solve for x
    x = 284,996,826.79/14,614.94
  6. Step 6: Final answer
    x = 19,500.38

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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.