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Finding the Fourth Proportional to 27,904.86, 41,852.69 and 9,185.14

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Solution

The fourth proportional to 27,904.86, 41,852.69 and 9,185.14 is: 13,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,904.86 : 41,852.69 = 9,185.14 : x
  2. Step 2: Convert to fraction form
    27,904.86/41,852.69 = 9,185.14/x
  3. Step 3: Cross multiply
    27,904.86x = 41,852.69 × 9,185.14
  4. Step 4: Simplify right side
    27,904.86x = 384,422,817.03
  5. Step 5: Solve for x
    x = 384,422,817.03/27,904.86
  6. Step 6: Final answer
    x = 13,776.20

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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.