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Finding the Fourth Proportional to 24,657, 36,985.50 and 8,241

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Solution

The fourth proportional to 24,657, 36,985.50 and 8,241 is: 12,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657 : 36,985.50 = 8,241 : x
  2. Step 2: Convert to fraction form
    24,657/36,985.50 = 8,241/x
  3. Step 3: Cross multiply
    24,657x = 36,985.50 × 8,241
  4. Step 4: Simplify right side
    24,657x = 304,797,505.50
  5. Step 5: Solve for x
    x = 304,797,505.50/24,657
  6. Step 6: Final answer
    x = 12,361.50

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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.