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Finding the Fourth Proportional to 13,732, 20,598.72 and 4,498

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Solution

The fourth proportional to 13,732, 20,598.72 and 4,498 is: 6,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732 : 20,598.72 = 4,498 : x
  2. Step 2: Convert to fraction form
    13,732/20,598.72 = 4,498/x
  3. Step 3: Cross multiply
    13,732x = 20,598.72 × 4,498
  4. Step 4: Simplify right side
    13,732x = 92,653,042.56
  5. Step 5: Solve for x
    x = 92,653,042.56/13,732
  6. Step 6: Final answer
    x = 6,747.24

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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.