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Finding the Fourth Proportional to 27,734.76, 38,273.16 and 15,159.50

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Solution

The fourth proportional to 27,734.76, 38,273.16 and 15,159.50 is: 20,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.76 : 38,273.16 = 15,159.50 : x
  2. Step 2: Convert to fraction form
    27,734.76/38,273.16 = 15,159.50/x
  3. Step 3: Cross multiply
    27,734.76x = 38,273.16 × 15,159.50
  4. Step 4: Simplify right side
    27,734.76x = 580,201,969.02
  5. Step 5: Solve for x
    x = 580,201,969.02/27,734.76
  6. Step 6: Final answer
    x = 20,919.67

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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.