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Finding the Fourth Proportional to 16,439.09, 24,664.84 and 9,869.85

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Solution

The fourth proportional to 16,439.09, 24,664.84 and 9,869.85 is: 14,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,439.09 : 24,664.84 = 9,869.85 : x
  2. Step 2: Convert to fraction form
    16,439.09/24,664.84 = 9,869.85/x
  3. Step 3: Cross multiply
    16,439.09x = 24,664.84 × 9,869.85
  4. Step 4: Simplify right side
    16,439.09x = 243,438,221.72
  5. Step 5: Solve for x
    x = 243,438,221.72/16,439.09
  6. Step 6: Final answer
    x = 14,808.50

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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.