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Finding the Fourth Proportional to 24,658, 36,987 and 8,242

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Solution

The fourth proportional to 24,658, 36,987 and 8,242 is: 12,363

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658 : 36,987 = 8,242 : x
  2. Step 2: Convert to fraction form
    24,658/36,987 = 8,242/x
  3. Step 3: Cross multiply
    24,658x = 36,987 × 8,242
  4. Step 4: Simplify right side
    24,658x = 304,846,854
  5. Step 5: Solve for x
    x = 304,846,854/24,658
  6. Step 6: Final answer
    x = 12,363

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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.