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Finding the Fourth Proportional to 27,906.36, 41,854.94 and 9,186.64

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Solution

The fourth proportional to 27,906.36, 41,854.94 and 9,186.64 is: 13,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.36 : 41,854.94 = 9,186.64 : x
  2. Step 2: Convert to fraction form
    27,906.36/41,854.94 = 9,186.64/x
  3. Step 3: Cross multiply
    27,906.36x = 41,854.94 × 9,186.64
  4. Step 4: Simplify right side
    27,906.36x = 384,506,266.00
  5. Step 5: Solve for x
    x = 384,506,266.00/27,906.36
  6. Step 6: Final answer
    x = 13,778.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.