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Finding the Fourth Proportional to 23,645.59, 35,459.51 and 7,847.69

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Solution

The fourth proportional to 23,645.59, 35,459.51 and 7,847.69 is: 11,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,645.59 : 35,459.51 = 7,847.69 : x
  2. Step 2: Convert to fraction form
    23,645.59/35,459.51 = 7,847.69/x
  3. Step 3: Cross multiply
    23,645.59x = 35,459.51 × 7,847.69
  4. Step 4: Simplify right side
    23,645.59x = 278,275,025.50
  5. Step 5: Solve for x
    x = 278,275,025.50/23,645.59
  6. Step 6: Final answer
    x = 11,768.58

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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.