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Finding the Fourth Proportional to 16,410, 24,615 and 4,098

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Solution

The fourth proportional to 16,410, 24,615 and 4,098 is: 6,147

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,410 : 24,615 = 4,098 : x
  2. Step 2: Convert to fraction form
    16,410/24,615 = 4,098/x
  3. Step 3: Cross multiply
    16,410x = 24,615 × 4,098
  4. Step 4: Simplify right side
    16,410x = 100,872,270
  5. Step 5: Solve for x
    x = 100,872,270/16,410
  6. Step 6: Final answer
    x = 6,147

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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.