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Finding the Fourth Proportional to 27,144.96, 40,717.11 and 7,423.50

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Solution

The fourth proportional to 27,144.96, 40,717.11 and 7,423.50 is: 11,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144.96 : 40,717.11 = 7,423.50 : x
  2. Step 2: Convert to fraction form
    27,144.96/40,717.11 = 7,423.50/x
  3. Step 3: Cross multiply
    27,144.96x = 40,717.11 × 7,423.50
  4. Step 4: Simplify right side
    27,144.96x = 302,263,466.09
  5. Step 5: Solve for x
    x = 302,263,466.09/27,144.96
  6. Step 6: Final answer
    x = 11,135.16

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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.