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Finding the Fourth Proportional to 14,576, 20,114.96 and 7,952

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Solution

The fourth proportional to 14,576, 20,114.96 and 7,952 is: 10,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576 : 20,114.96 = 7,952 : x
  2. Step 2: Convert to fraction form
    14,576/20,114.96 = 7,952/x
  3. Step 3: Cross multiply
    14,576x = 20,114.96 × 7,952
  4. Step 4: Simplify right side
    14,576x = 159,954,161.92
  5. Step 5: Solve for x
    x = 159,954,161.92/14,576
  6. Step 6: Final answer
    x = 10,973.80

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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.