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Finding the Fourth Proportional to 27,670.39, 38,197.50 and 18,745

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Solution

The fourth proportional to 27,670.39, 38,197.50 and 18,745 is: 25,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.39 : 38,197.50 = 18,745 : x
  2. Step 2: Convert to fraction form
    27,670.39/38,197.50 = 18,745/x
  3. Step 3: Cross multiply
    27,670.39x = 38,197.50 × 18,745
  4. Step 4: Simplify right side
    27,670.39x = 716,012,137.50
  5. Step 5: Solve for x
    x = 716,012,137.50/27,670.39
  6. Step 6: Final answer
    x = 25,876.47

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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.