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Finding the Fourth Proportional to 16,403.63, 24,609.85 and 6,549.83

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Solution

The fourth proportional to 16,403.63, 24,609.85 and 6,549.83 is: 9,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,403.63 : 24,609.85 = 6,549.83 : x
  2. Step 2: Convert to fraction form
    16,403.63/24,609.85 = 6,549.83/x
  3. Step 3: Cross multiply
    16,403.63x = 24,609.85 × 6,549.83
  4. Step 4: Simplify right side
    16,403.63x = 161,190,286.69
  5. Step 5: Solve for x
    x = 161,190,286.69/16,403.63
  6. Step 6: Final answer
    x = 9,826.50

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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.