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Finding the Fourth Proportional to 16,594.62, 24,902.16 and 6,733.98

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Solution

The fourth proportional to 16,594.62, 24,902.16 and 6,733.98 is: 10,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.62 : 24,902.16 = 6,733.98 : x
  2. Step 2: Convert to fraction form
    16,594.62/24,902.16 = 6,733.98/x
  3. Step 3: Cross multiply
    16,594.62x = 24,902.16 × 6,733.98
  4. Step 4: Simplify right side
    16,594.62x = 167,690,647.40
  5. Step 5: Solve for x
    x = 167,690,647.40/16,594.62
  6. Step 6: Final answer
    x = 10,105.12

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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.