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Finding the Fourth Proportional to 23,644, 32,628.71 and 13,033.85

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Solution

The fourth proportional to 23,644, 32,628.71 and 13,033.85 is: 17,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644 : 32,628.71 = 13,033.85 : x
  2. Step 2: Convert to fraction form
    23,644/32,628.71 = 13,033.85/x
  3. Step 3: Cross multiply
    23,644x = 32,628.71 × 13,033.85
  4. Step 4: Simplify right side
    23,644x = 425,277,711.83
  5. Step 5: Solve for x
    x = 425,277,711.83/23,644
  6. Step 6: Final answer
    x = 17,986.71

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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.