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Finding the Fourth Proportional to 23,781.62, 35,662.10 and 12,685.83

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Solution

The fourth proportional to 23,781.62, 35,662.10 and 12,685.83 is: 19,023.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,781.62 : 35,662.10 = 12,685.83 : x
  2. Step 2: Convert to fraction form
    23,781.62/35,662.10 = 12,685.83/x
  3. Step 3: Cross multiply
    23,781.62x = 35,662.10 × 12,685.83
  4. Step 4: Simplify right side
    23,781.62x = 452,403,274.61
  5. Step 5: Solve for x
    x = 452,403,274.61/23,781.62
  6. Step 6: Final answer
    x = 19,023.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.