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Finding the Fourth Proportional to 24,294, 36,441 and 7,878

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Solution

The fourth proportional to 24,294, 36,441 and 7,878 is: 11,817

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,294 : 36,441 = 7,878 : x
  2. Step 2: Convert to fraction form
    24,294/36,441 = 7,878/x
  3. Step 3: Cross multiply
    24,294x = 36,441 × 7,878
  4. Step 4: Simplify right side
    24,294x = 287,082,198
  5. Step 5: Solve for x
    x = 287,082,198/24,294
  6. Step 6: Final answer
    x = 11,817

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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.