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Finding the Fourth Proportional to 16,308, 24,462 and 3,996

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Solution

The fourth proportional to 16,308, 24,462 and 3,996 is: 5,994

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308 : 24,462 = 3,996 : x
  2. Step 2: Convert to fraction form
    16,308/24,462 = 3,996/x
  3. Step 3: Cross multiply
    16,308x = 24,462 × 3,996
  4. Step 4: Simplify right side
    16,308x = 97,750,152
  5. Step 5: Solve for x
    x = 97,750,152/16,308
  6. Step 6: Final answer
    x = 5,994

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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.