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Finding the Fourth Proportional to 13,715.42, 20,573.13 and 3,855.70

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Solution

The fourth proportional to 13,715.42, 20,573.13 and 3,855.70 is: 5,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.42 : 20,573.13 = 3,855.70 : x
  2. Step 2: Convert to fraction form
    13,715.42/20,573.13 = 3,855.70/x
  3. Step 3: Cross multiply
    13,715.42x = 20,573.13 × 3,855.70
  4. Step 4: Simplify right side
    13,715.42x = 79,323,714.48
  5. Step 5: Solve for x
    x = 79,323,714.48/13,715.42
  6. Step 6: Final answer
    x = 5,783.54

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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.