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Finding the Fourth Proportional to 27,767.50, 41,655.59 and 9,043.12

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Solution

The fourth proportional to 27,767.50, 41,655.59 and 9,043.12 is: 13,566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767.50 : 41,655.59 = 9,043.12 : x
  2. Step 2: Convert to fraction form
    27,767.50/41,655.59 = 9,043.12/x
  3. Step 3: Cross multiply
    27,767.50x = 41,655.59 × 9,043.12
  4. Step 4: Simplify right side
    27,767.50x = 376,696,499.04
  5. Step 5: Solve for x
    x = 376,696,499.04/27,767.50
  6. Step 6: Final answer
    x = 13,566.09

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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.