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Finding the Fourth Proportional to 27,214, 40,822.41 and 7,492.12

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Solution

The fourth proportional to 27,214, 40,822.41 and 7,492.12 is: 11,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214 : 40,822.41 = 7,492.12 : x
  2. Step 2: Convert to fraction form
    27,214/40,822.41 = 7,492.12/x
  3. Step 3: Cross multiply
    27,214x = 40,822.41 × 7,492.12
  4. Step 4: Simplify right side
    27,214x = 305,846,394.41
  5. Step 5: Solve for x
    x = 305,846,394.41/27,214
  6. Step 6: Final answer
    x = 11,238.57

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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.