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Finding the Fourth Proportional to 27,542.16, 38,008.44 and 16,362

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Solution

The fourth proportional to 27,542.16, 38,008.44 and 16,362 is: 22,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.16 : 38,008.44 = 16,362 : x
  2. Step 2: Convert to fraction form
    27,542.16/38,008.44 = 16,362/x
  3. Step 3: Cross multiply
    27,542.16x = 38,008.44 × 16,362
  4. Step 4: Simplify right side
    27,542.16x = 621,894,095.28
  5. Step 5: Solve for x
    x = 621,894,095.28/27,542.16
  6. Step 6: Final answer
    x = 22,579.71

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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.