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Finding the Fourth Proportional to 13,655.59, 20,491.35 and 5,757.63

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Solution

The fourth proportional to 13,655.59, 20,491.35 and 5,757.63 is: 8,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,655.59 : 20,491.35 = 5,757.63 : x
  2. Step 2: Convert to fraction form
    13,655.59/20,491.35 = 5,757.63/x
  3. Step 3: Cross multiply
    13,655.59x = 20,491.35 × 5,757.63
  4. Step 4: Simplify right side
    13,655.59x = 117,981,611.50
  5. Step 5: Solve for x
    x = 117,981,611.50/13,655.59
  6. Step 6: Final answer
    x = 8,639.80

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Why These Related Problems?

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