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Finding the Fourth Proportional to 13,482.28, 20,223.42 and 4,249

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Solution

The fourth proportional to 13,482.28, 20,223.42 and 4,249 is: 6,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.28 : 20,223.42 = 4,249 : x
  2. Step 2: Convert to fraction form
    13,482.28/20,223.42 = 4,249/x
  3. Step 3: Cross multiply
    13,482.28x = 20,223.42 × 4,249
  4. Step 4: Simplify right side
    13,482.28x = 85,929,311.58
  5. Step 5: Solve for x
    x = 85,929,311.58/13,482.28
  6. Step 6: Final answer
    x = 6,373.50

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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.