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Finding the Fourth Proportional to 23,787, 35,680.50 and 7,371

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Solution

The fourth proportional to 23,787, 35,680.50 and 7,371 is: 11,056.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787 : 35,680.50 = 7,371 : x
  2. Step 2: Convert to fraction form
    23,787/35,680.50 = 7,371/x
  3. Step 3: Cross multiply
    23,787x = 35,680.50 × 7,371
  4. Step 4: Simplify right side
    23,787x = 263,000,965.50
  5. Step 5: Solve for x
    x = 263,000,965.50/23,787
  6. Step 6: Final answer
    x = 11,056.50

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Why These Related Problems?

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