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Finding the Fourth Proportional to 14,564.00, 20,098.26 and 8,276.38

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Solution

The fourth proportional to 14,564.00, 20,098.26 and 8,276.38 is: 11,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,564.00 : 20,098.26 = 8,276.38 : x
  2. Step 2: Convert to fraction form
    14,564.00/20,098.26 = 8,276.38/x
  3. Step 3: Cross multiply
    14,564.00x = 20,098.26 × 8,276.38
  4. Step 4: Simplify right side
    14,564.00x = 166,340,786.85
  5. Step 5: Solve for x
    x = 166,340,786.85/14,564.00
  6. Step 6: Final answer
    x = 11,421.36

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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.