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Finding the Fourth Proportional to 22,051.50, 33,074.62 and 7,256.75

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Solution

The fourth proportional to 22,051.50, 33,074.62 and 7,256.75 is: 10,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051.50 : 33,074.62 = 7,256.75 : x
  2. Step 2: Convert to fraction form
    22,051.50/33,074.62 = 7,256.75/x
  3. Step 3: Cross multiply
    22,051.50x = 33,074.62 × 7,256.75
  4. Step 4: Simplify right side
    22,051.50x = 240,014,248.69
  5. Step 5: Solve for x
    x = 240,014,248.69/22,051.50
  6. Step 6: Final answer
    x = 10,884.26

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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.