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Finding the Fourth Proportional to 27,636.24, 38,138.04 and 15,061

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Solution

The fourth proportional to 27,636.24, 38,138.04 and 15,061 is: 20,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636.24 : 38,138.04 = 15,061 : x
  2. Step 2: Convert to fraction form
    27,636.24/38,138.04 = 15,061/x
  3. Step 3: Cross multiply
    27,636.24x = 38,138.04 × 15,061
  4. Step 4: Simplify right side
    27,636.24x = 574,397,020.44
  5. Step 5: Solve for x
    x = 574,397,020.44/27,636.24
  6. Step 6: Final answer
    x = 20,784.20

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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.