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Finding the Fourth Proportional to 27,612, 38,108.16 and 16,434

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Solution

The fourth proportional to 27,612, 38,108.16 and 16,434 is: 22,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,612 : 38,108.16 = 16,434 : x
  2. Step 2: Convert to fraction form
    27,612/38,108.16 = 16,434/x
  3. Step 3: Cross multiply
    27,612x = 38,108.16 × 16,434
  4. Step 4: Simplify right side
    27,612x = 626,269,501.44
  5. Step 5: Solve for x
    x = 626,269,501.44/27,612
  6. Step 6: Final answer
    x = 22,681.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.