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Finding the Fourth Proportional to 13,528.50, 20,274.93 and 5,727.66

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Solution

The fourth proportional to 13,528.50, 20,274.93 and 5,727.66 is: 8,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.50 : 20,274.93 = 5,727.66 : x
  2. Step 2: Convert to fraction form
    13,528.50/20,274.93 = 5,727.66/x
  3. Step 3: Cross multiply
    13,528.50x = 20,274.93 × 5,727.66
  4. Step 4: Simplify right side
    13,528.50x = 116,127,905.56
  5. Step 5: Solve for x
    x = 116,127,905.56/13,528.50
  6. Step 6: Final answer
    x = 8,583.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.