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Finding the Fourth Proportional to 14,575.52, 20,114.34 and 8,201.90

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Solution

The fourth proportional to 14,575.52, 20,114.34 and 8,201.90 is: 11,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.52 : 20,114.34 = 8,201.90 : x
  2. Step 2: Convert to fraction form
    14,575.52/20,114.34 = 8,201.90/x
  3. Step 3: Cross multiply
    14,575.52x = 20,114.34 × 8,201.90
  4. Step 4: Simplify right side
    14,575.52x = 164,975,805.25
  5. Step 5: Solve for x
    x = 164,975,805.25/14,575.52
  6. Step 6: Final answer
    x = 11,318.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.