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Finding the Fourth Proportional to 23,789.09, 35,683.64 and 8,205.50

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Solution

The fourth proportional to 23,789.09, 35,683.64 and 8,205.50 is: 12,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,789.09 : 35,683.64 = 8,205.50 : x
  2. Step 2: Convert to fraction form
    23,789.09/35,683.64 = 8,205.50/x
  3. Step 3: Cross multiply
    23,789.09x = 35,683.64 × 8,205.50
  4. Step 4: Simplify right side
    23,789.09x = 292,802,108.02
  5. Step 5: Solve for x
    x = 292,802,108.02/23,789.09
  6. Step 6: Final answer
    x = 12,308.25

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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.