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Finding the Fourth Proportional to 27,823.17, 41,735.19 and 8,101.89

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Solution

The fourth proportional to 27,823.17, 41,735.19 and 8,101.89 is: 12,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.17 : 41,735.19 = 8,101.89 : x
  2. Step 2: Convert to fraction form
    27,823.17/41,735.19 = 8,101.89/x
  3. Step 3: Cross multiply
    27,823.17x = 41,735.19 × 8,101.89
  4. Step 4: Simplify right side
    27,823.17x = 338,133,918.51
  5. Step 5: Solve for x
    x = 338,133,918.51/27,823.17
  6. Step 6: Final answer
    x = 12,152.96

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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.