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Finding the Fourth Proportional to 13,777.70, 20,633.74 and 7,528.34

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Solution

The fourth proportional to 13,777.70, 20,633.74 and 7,528.34 is: 11,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.70 : 20,633.74 = 7,528.34 : x
  2. Step 2: Convert to fraction form
    13,777.70/20,633.74 = 7,528.34/x
  3. Step 3: Cross multiply
    13,777.70x = 20,633.74 × 7,528.34
  4. Step 4: Simplify right side
    13,777.70x = 155,337,842.96
  5. Step 5: Solve for x
    x = 155,337,842.96/13,777.70
  6. Step 6: Final answer
    x = 11,274.59

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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.