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Finding the Fourth Proportional to 27,613.26, 38,106.70 and 15,038

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Solution

The fourth proportional to 27,613.26, 38,106.70 and 15,038 is: 20,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.26 : 38,106.70 = 15,038 : x
  2. Step 2: Convert to fraction form
    27,613.26/38,106.70 = 15,038/x
  3. Step 3: Cross multiply
    27,613.26x = 38,106.70 × 15,038
  4. Step 4: Simplify right side
    27,613.26x = 573,048,554.60
  5. Step 5: Solve for x
    x = 573,048,554.60/27,613.26
  6. Step 6: Final answer
    x = 20,752.66

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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.