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Finding the Fourth Proportional to 23,779.09, 35,668.64 and 8,195.50

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Solution

The fourth proportional to 23,779.09, 35,668.64 and 8,195.50 is: 12,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.09 : 35,668.64 = 8,195.50 : x
  2. Step 2: Convert to fraction form
    23,779.09/35,668.64 = 8,195.50/x
  3. Step 3: Cross multiply
    23,779.09x = 35,668.64 × 8,195.50
  4. Step 4: Simplify right side
    23,779.09x = 292,322,339.12
  5. Step 5: Solve for x
    x = 292,322,339.12/23,779.09
  6. Step 6: Final answer
    x = 12,293.25

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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.