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Finding the Fourth Proportional to 20,175.75, 30,274.56 and 9,787.50

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Solution

The fourth proportional to 20,175.75, 30,274.56 and 9,787.50 is: 14,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.75 : 30,274.56 = 9,787.50 : x
  2. Step 2: Convert to fraction form
    20,175.75/30,274.56 = 9,787.50/x
  3. Step 3: Cross multiply
    20,175.75x = 30,274.56 × 9,787.50
  4. Step 4: Simplify right side
    20,175.75x = 296,312,256
  5. Step 5: Solve for x
    x = 296,312,256/20,175.75
  6. Step 6: Final answer
    x = 14,686.55

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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.