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Finding the Fourth Proportional to 23,657.16, 35,496.20 and 12,561.16

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Solution

The fourth proportional to 23,657.16, 35,496.20 and 12,561.16 is: 18,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.16 : 35,496.20 = 12,561.16 : x
  2. Step 2: Convert to fraction form
    23,657.16/35,496.20 = 12,561.16/x
  3. Step 3: Cross multiply
    23,657.16x = 35,496.20 × 12,561.16
  4. Step 4: Simplify right side
    23,657.16x = 445,873,447.59
  5. Step 5: Solve for x
    x = 445,873,447.59/23,657.16
  6. Step 6: Final answer
    x = 18,847.29

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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.