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Finding the Fourth Proportional to 24,907, 37,366.90 and 8,491

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Solution

The fourth proportional to 24,907, 37,366.90 and 8,491 is: 12,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907 : 37,366.90 = 8,491 : x
  2. Step 2: Convert to fraction form
    24,907/37,366.90 = 8,491/x
  3. Step 3: Cross multiply
    24,907x = 37,366.90 × 8,491
  4. Step 4: Simplify right side
    24,907x = 317,282,347.90
  5. Step 5: Solve for x
    x = 317,282,347.90/24,907
  6. Step 6: Final answer
    x = 12,738.68

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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.