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Finding the Fourth Proportional to 14,701, 22,051.62 and 5,467

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Solution

The fourth proportional to 14,701, 22,051.62 and 5,467 is: 8,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701 : 22,051.62 = 5,467 : x
  2. Step 2: Convert to fraction form
    14,701/22,051.62 = 5,467/x
  3. Step 3: Cross multiply
    14,701x = 22,051.62 × 5,467
  4. Step 4: Simplify right side
    14,701x = 120,556,206.54
  5. Step 5: Solve for x
    x = 120,556,206.54/14,701
  6. Step 6: Final answer
    x = 8,200.54

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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.