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Finding the Fourth Proportional to 27,613.70, 38,107.34 and 15,038.44

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Solution

The fourth proportional to 27,613.70, 38,107.34 and 15,038.44 is: 20,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.70 : 38,107.34 = 15,038.44 : x
  2. Step 2: Convert to fraction form
    27,613.70/38,107.34 = 15,038.44/x
  3. Step 3: Cross multiply
    27,613.70x = 38,107.34 × 15,038.44
  4. Step 4: Simplify right side
    27,613.70x = 573,074,946.15
  5. Step 5: Solve for x
    x = 573,074,946.15/27,613.70
  6. Step 6: Final answer
    x = 20,753.28

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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.