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Finding the Fourth Proportional to 27,524.95, 37,983.02 and 14,949.67

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Solution

The fourth proportional to 27,524.95, 37,983.02 and 14,949.67 is: 20,629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.95 : 37,983.02 = 14,949.67 : x
  2. Step 2: Convert to fraction form
    27,524.95/37,983.02 = 14,949.67/x
  3. Step 3: Cross multiply
    27,524.95x = 37,983.02 × 14,949.67
  4. Step 4: Simplify right side
    27,524.95x = 567,833,539.86
  5. Step 5: Solve for x
    x = 567,833,539.86/27,524.95
  6. Step 6: Final answer
    x = 20,629.78

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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.