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Finding the Fourth Proportional to 27,598.20, 41,384.85 and 7,872.08

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Solution

The fourth proportional to 27,598.20, 41,384.85 and 7,872.08 is: 11,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,598.20 : 41,384.85 = 7,872.08 : x
  2. Step 2: Convert to fraction form
    27,598.20/41,384.85 = 7,872.08/x
  3. Step 3: Cross multiply
    27,598.20x = 41,384.85 × 7,872.08
  4. Step 4: Simplify right side
    27,598.20x = 325,784,643.06
  5. Step 5: Solve for x
    x = 325,784,643.06/27,598.20
  6. Step 6: Final answer
    x = 11,804.56

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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.