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Finding the Fourth Proportional to 27,474, 41,210.20 and 12,683.12

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Solution

The fourth proportional to 27,474, 41,210.20 and 12,683.12 is: 19,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474 : 41,210.20 = 12,683.12 : x
  2. Step 2: Convert to fraction form
    27,474/41,210.20 = 12,683.12/x
  3. Step 3: Cross multiply
    27,474x = 41,210.20 × 12,683.12
  4. Step 4: Simplify right side
    27,474x = 522,673,911.82
  5. Step 5: Solve for x
    x = 522,673,911.82/27,474
  6. Step 6: Final answer
    x = 19,024.31

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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.