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Finding the Fourth Proportional to 14,700.36, 22,021 and 6,791.80

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Solution

The fourth proportional to 14,700.36, 22,021 and 6,791.80 is: 10,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.36 : 22,021 = 6,791.80 : x
  2. Step 2: Convert to fraction form
    14,700.36/22,021 = 6,791.80/x
  3. Step 3: Cross multiply
    14,700.36x = 22,021 × 6,791.80
  4. Step 4: Simplify right side
    14,700.36x = 149,562,227.80
  5. Step 5: Solve for x
    x = 149,562,227.80/14,700.36
  6. Step 6: Final answer
    x = 10,174.05

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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.