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Finding the Fourth Proportional to 27,724, 41,573.04 and 9,243.04

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Solution

The fourth proportional to 27,724, 41,573.04 and 9,243.04 is: 13,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,724 : 41,573.04 = 9,243.04 : x
  2. Step 2: Convert to fraction form
    27,724/41,573.04 = 9,243.04/x
  3. Step 3: Cross multiply
    27,724x = 41,573.04 × 9,243.04
  4. Step 4: Simplify right side
    27,724x = 384,261,271.64
  5. Step 5: Solve for x
    x = 384,261,271.64/27,724
  6. Step 6: Final answer
    x = 13,860.24

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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.