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Finding the Fourth Proportional to 27,109.84, 40,668.04 and 9,576.08

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Solution

The fourth proportional to 27,109.84, 40,668.04 and 9,576.08 is: 14,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.84 : 40,668.04 = 9,576.08 : x
  2. Step 2: Convert to fraction form
    27,109.84/40,668.04 = 9,576.08/x
  3. Step 3: Cross multiply
    27,109.84x = 40,668.04 × 9,576.08
  4. Step 4: Simplify right side
    27,109.84x = 389,440,404.48
  5. Step 5: Solve for x
    x = 389,440,404.48/27,109.84
  6. Step 6: Final answer
    x = 14,365.28

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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.