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Finding the Fourth Proportional to 14,575.88, 20,114.22 and 8,202.60

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Solution

The fourth proportional to 14,575.88, 20,114.22 and 8,202.60 is: 11,319.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.88 : 20,114.22 = 8,202.60 : x
  2. Step 2: Convert to fraction form
    14,575.88/20,114.22 = 8,202.60/x
  3. Step 3: Cross multiply
    14,575.88x = 20,114.22 × 8,202.60
  4. Step 4: Simplify right side
    14,575.88x = 164,988,900.97
  5. Step 5: Solve for x
    x = 164,988,900.97/14,575.88
  6. Step 6: Final answer
    x = 11,319.31

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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.