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Finding the Fourth Proportional to 23,644.59, 32,629.62 and 13,033.99

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Solution

The fourth proportional to 23,644.59, 32,629.62 and 13,033.99 is: 17,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,644.59 : 32,629.62 = 13,033.99 : x
  2. Step 2: Convert to fraction form
    23,644.59/32,629.62 = 13,033.99/x
  3. Step 3: Cross multiply
    23,644.59x = 32,629.62 × 13,033.99
  4. Step 4: Simplify right side
    23,644.59x = 425,294,140.78
  5. Step 5: Solve for x
    x = 425,294,140.78/23,644.59
  6. Step 6: Final answer
    x = 17,986.95

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Why These Related Problems?

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