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Finding the Fourth Proportional to 14,567.38, 20,103 and 8,279.75

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Solution

The fourth proportional to 14,567.38, 20,103 and 8,279.75 is: 11,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,567.38 : 20,103 = 8,279.75 : x
  2. Step 2: Convert to fraction form
    14,567.38/20,103 = 8,279.75/x
  3. Step 3: Cross multiply
    14,567.38x = 20,103 × 8,279.75
  4. Step 4: Simplify right side
    14,567.38x = 166,447,814.25
  5. Step 5: Solve for x
    x = 166,447,814.25/14,567.38
  6. Step 6: Final answer
    x = 11,426.07

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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.