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Finding the Fourth Proportional to 27,742.89, 41,614.35 and 9,274.89

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Solution

The fourth proportional to 27,742.89, 41,614.35 and 9,274.89 is: 13,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.89 : 41,614.35 = 9,274.89 : x
  2. Step 2: Convert to fraction form
    27,742.89/41,614.35 = 9,274.89/x
  3. Step 3: Cross multiply
    27,742.89x = 41,614.35 × 9,274.89
  4. Step 4: Simplify right side
    27,742.89x = 385,968,518.67
  5. Step 5: Solve for x
    x = 385,968,518.67/27,742.89
  6. Step 6: Final answer
    x = 13,912.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.