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Finding the Fourth Proportional to 23,596.56, 32,563.26 and 12,986.19

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Solution

The fourth proportional to 23,596.56, 32,563.26 and 12,986.19 is: 17,920.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.56 : 32,563.26 = 12,986.19 : x
  2. Step 2: Convert to fraction form
    23,596.56/32,563.26 = 12,986.19/x
  3. Step 3: Cross multiply
    23,596.56x = 32,563.26 × 12,986.19
  4. Step 4: Simplify right side
    23,596.56x = 422,872,681.38
  5. Step 5: Solve for x
    x = 422,872,681.38/23,596.56
  6. Step 6: Final answer
    x = 17,920.95

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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.