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Finding the Fourth Proportional to 13,524.63, 20,256.69 and 7,818.60

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Solution

The fourth proportional to 13,524.63, 20,256.69 and 7,818.60 is: 11,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.63 : 20,256.69 = 7,818.60 : x
  2. Step 2: Convert to fraction form
    13,524.63/20,256.69 = 7,818.60/x
  3. Step 3: Cross multiply
    13,524.63x = 20,256.69 × 7,818.60
  4. Step 4: Simplify right side
    13,524.63x = 158,378,956.43
  5. Step 5: Solve for x
    x = 158,378,956.43/13,524.63
  6. Step 6: Final answer
    x = 11,710.41

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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.