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Finding the Fourth Proportional to 27,346.76, 37,738.50 and 14,771.52

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Solution

The fourth proportional to 27,346.76, 37,738.50 and 14,771.52 is: 20,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,346.76 : 37,738.50 = 14,771.52 : x
  2. Step 2: Convert to fraction form
    27,346.76/37,738.50 = 14,771.52/x
  3. Step 3: Cross multiply
    27,346.76x = 37,738.50 × 14,771.52
  4. Step 4: Simplify right side
    27,346.76x = 557,455,007.52
  5. Step 5: Solve for x
    x = 557,455,007.52/27,346.76
  6. Step 6: Final answer
    x = 20,384.68

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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.