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Finding the Fourth Proportional to 16,489, 24,740.70 and 6,097.96

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Solution

The fourth proportional to 16,489, 24,740.70 and 6,097.96 is: 9,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489 : 24,740.70 = 6,097.96 : x
  2. Step 2: Convert to fraction form
    16,489/24,740.70 = 6,097.96/x
  3. Step 3: Cross multiply
    16,489x = 24,740.70 × 6,097.96
  4. Step 4: Simplify right side
    16,489x = 150,867,798.97
  5. Step 5: Solve for x
    x = 150,867,798.97/16,489
  6. Step 6: Final answer
    x = 9,149.60

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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.