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Finding the Fourth Proportional to 23,207.25, 32,026.03 and 12,596.88

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Solution

The fourth proportional to 23,207.25, 32,026.03 and 12,596.88 is: 17,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.25 : 32,026.03 = 12,596.88 : x
  2. Step 2: Convert to fraction form
    23,207.25/32,026.03 = 12,596.88/x
  3. Step 3: Cross multiply
    23,207.25x = 32,026.03 × 12,596.88
  4. Step 4: Simplify right side
    23,207.25x = 403,428,056.79
  5. Step 5: Solve for x
    x = 403,428,056.79/23,207.25
  6. Step 6: Final answer
    x = 17,383.71

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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.