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Finding the Fourth Proportional to 27,771.04, 38,325 and 15,196.96

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Solution

The fourth proportional to 27,771.04, 38,325 and 15,196.96 is: 20,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.04 : 38,325 = 15,196.96 : x
  2. Step 2: Convert to fraction form
    27,771.04/38,325 = 15,196.96/x
  3. Step 3: Cross multiply
    27,771.04x = 38,325 × 15,196.96
  4. Step 4: Simplify right side
    27,771.04x = 582,423,492
  5. Step 5: Solve for x
    x = 582,423,492/27,771.04
  6. Step 6: Final answer
    x = 20,972.33

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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.