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Finding the Fourth Proportional to 27,368.24, 37,768.20 and 14,793

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Solution

The fourth proportional to 27,368.24, 37,768.20 and 14,793 is: 20,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,368.24 : 37,768.20 = 14,793 : x
  2. Step 2: Convert to fraction form
    27,368.24/37,768.20 = 14,793/x
  3. Step 3: Cross multiply
    27,368.24x = 37,768.20 × 14,793
  4. Step 4: Simplify right side
    27,368.24x = 558,704,982.60
  5. Step 5: Solve for x
    x = 558,704,982.60/27,368.24
  6. Step 6: Final answer
    x = 20,414.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.