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Finding the Fourth Proportional to 24,878, 37,317 and 8,462

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Solution

The fourth proportional to 24,878, 37,317 and 8,462 is: 12,693

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878 : 37,317 = 8,462 : x
  2. Step 2: Convert to fraction form
    24,878/37,317 = 8,462/x
  3. Step 3: Cross multiply
    24,878x = 37,317 × 8,462
  4. Step 4: Simplify right side
    24,878x = 315,776,454
  5. Step 5: Solve for x
    x = 315,776,454/24,878
  6. Step 6: Final answer
    x = 12,693

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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.