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Finding the Fourth Proportional to 13,731.40, 20,595.90 and 4,497.40

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Solution

The fourth proportional to 13,731.40, 20,595.90 and 4,497.40 is: 6,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.40 : 20,595.90 = 4,497.40 : x
  2. Step 2: Convert to fraction form
    13,731.40/20,595.90 = 4,497.40/x
  3. Step 3: Cross multiply
    13,731.40x = 20,595.90 × 4,497.40
  4. Step 4: Simplify right side
    13,731.40x = 92,628,000.66
  5. Step 5: Solve for x
    x = 92,628,000.66/13,731.40
  6. Step 6: Final answer
    x = 6,745.71

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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.