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Finding the Fourth Proportional to 16,418, 24,627 and 4,106

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Solution

The fourth proportional to 16,418, 24,627 and 4,106 is: 6,159

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418 : 24,627 = 4,106 : x
  2. Step 2: Convert to fraction form
    16,418/24,627 = 4,106/x
  3. Step 3: Cross multiply
    16,418x = 24,627 × 4,106
  4. Step 4: Simplify right side
    16,418x = 101,118,462
  5. Step 5: Solve for x
    x = 101,118,462/16,418
  6. Step 6: Final answer
    x = 6,159

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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.