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Finding the Fourth Proportional to 23,512.51, 32,447.51 and 12,902.55

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Solution

The fourth proportional to 23,512.51, 32,447.51 and 12,902.55 is: 17,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512.51 : 32,447.51 = 12,902.55 : x
  2. Step 2: Convert to fraction form
    23,512.51/32,447.51 = 12,902.55/x
  3. Step 3: Cross multiply
    23,512.51x = 32,447.51 × 12,902.55
  4. Step 4: Simplify right side
    23,512.51x = 418,655,620.15
  5. Step 5: Solve for x
    x = 418,655,620.15/23,512.51
  6. Step 6: Final answer
    x = 17,805.65

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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.