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Finding the Fourth Proportional to 12,089.88, 16,654.25 and 10,291.60

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Solution

The fourth proportional to 12,089.88, 16,654.25 and 10,291.60 is: 14,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.88 : 16,654.25 = 10,291.60 : x
  2. Step 2: Convert to fraction form
    12,089.88/16,654.25 = 10,291.60/x
  3. Step 3: Cross multiply
    12,089.88x = 16,654.25 × 10,291.60
  4. Step 4: Simplify right side
    12,089.88x = 171,398,906.90
  5. Step 5: Solve for x
    x = 171,398,906.90/12,089.88
  6. Step 6: Final answer
    x = 14,177.06

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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.