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Finding the Fourth Proportional to 22,759.01, 34,132 and 7,765.84

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Solution

The fourth proportional to 22,759.01, 34,132 and 7,765.84 is: 11,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.01 : 34,132 = 7,765.84 : x
  2. Step 2: Convert to fraction form
    22,759.01/34,132 = 7,765.84/x
  3. Step 3: Cross multiply
    22,759.01x = 34,132 × 7,765.84
  4. Step 4: Simplify right side
    22,759.01x = 265,063,650.88
  5. Step 5: Solve for x
    x = 265,063,650.88/22,759.01
  6. Step 6: Final answer
    x = 11,646.54

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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.