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Finding the Fourth Proportional to 23,206.53, 32,025.18 and 12,596.16

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Solution

The fourth proportional to 23,206.53, 32,025.18 and 12,596.16 is: 17,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.53 : 32,025.18 = 12,596.16 : x
  2. Step 2: Convert to fraction form
    23,206.53/32,025.18 = 12,596.16/x
  3. Step 3: Cross multiply
    23,206.53x = 32,025.18 × 12,596.16
  4. Step 4: Simplify right side
    23,206.53x = 403,394,387.79
  5. Step 5: Solve for x
    x = 403,394,387.79/23,206.53
  6. Step 6: Final answer
    x = 17,382.79

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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.