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Finding the Fourth Proportional to 23,763.68, 35,612.27 and 15,767.84

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Solution

The fourth proportional to 23,763.68, 35,612.27 and 15,767.84 is: 23,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763.68 : 35,612.27 = 15,767.84 : x
  2. Step 2: Convert to fraction form
    23,763.68/35,612.27 = 15,767.84/x
  3. Step 3: Cross multiply
    23,763.68x = 35,612.27 × 15,767.84
  4. Step 4: Simplify right side
    23,763.68x = 561,528,644.72
  5. Step 5: Solve for x
    x = 561,528,644.72/23,763.68
  6. Step 6: Final answer
    x = 23,629.70

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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.