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Finding the Fourth Proportional to 16,399, 24,592.68 and 6,535.64

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Solution

The fourth proportional to 16,399, 24,592.68 and 6,535.64 is: 9,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399 : 24,592.68 = 6,535.64 : x
  2. Step 2: Convert to fraction form
    16,399/24,592.68 = 6,535.64/x
  3. Step 3: Cross multiply
    16,399x = 24,592.68 × 6,535.64
  4. Step 4: Simplify right side
    16,399x = 160,728,903.12
  5. Step 5: Solve for x
    x = 160,728,903.12/16,399
  6. Step 6: Final answer
    x = 9,801.14

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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.