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Finding the Fourth Proportional to 23,195.09, 32,009.21 and 12,584.71

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Solution

The fourth proportional to 23,195.09, 32,009.21 and 12,584.71 is: 17,366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.09 : 32,009.21 = 12,584.71 : x
  2. Step 2: Convert to fraction form
    23,195.09/32,009.21 = 12,584.71/x
  3. Step 3: Cross multiply
    23,195.09x = 32,009.21 × 12,584.71
  4. Step 4: Simplify right side
    23,195.09x = 402,826,576.62
  5. Step 5: Solve for x
    x = 402,826,576.62/23,195.09
  6. Step 6: Final answer
    x = 17,366.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.