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Finding the Fourth Proportional to 14,542.07, 21,813.21 and 5,776.97

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Solution

The fourth proportional to 14,542.07, 21,813.21 and 5,776.97 is: 8,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.07 : 21,813.21 = 5,776.97 : x
  2. Step 2: Convert to fraction form
    14,542.07/21,813.21 = 5,776.97/x
  3. Step 3: Cross multiply
    14,542.07x = 21,813.21 × 5,776.97
  4. Step 4: Simplify right side
    14,542.07x = 126,014,150.71
  5. Step 5: Solve for x
    x = 126,014,150.71/14,542.07
  6. Step 6: Final answer
    x = 8,665.49

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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.