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Finding the Fourth Proportional to 14,824.75, 20,458.17 and 8,537.14

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Solution

The fourth proportional to 14,824.75, 20,458.17 and 8,537.14 is: 11,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.75 : 20,458.17 = 8,537.14 : x
  2. Step 2: Convert to fraction form
    14,824.75/20,458.17 = 8,537.14/x
  3. Step 3: Cross multiply
    14,824.75x = 20,458.17 × 8,537.14
  4. Step 4: Simplify right side
    14,824.75x = 174,654,261.43
  5. Step 5: Solve for x
    x = 174,654,261.43/14,824.75
  6. Step 6: Final answer
    x = 11,781.26

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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.