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Finding the Fourth Proportional to 16,594.92, 24,890.22 and 4,909.32

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Solution

The fourth proportional to 16,594.92, 24,890.22 and 4,909.32 is: 7,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.92 : 24,890.22 = 4,909.32 : x
  2. Step 2: Convert to fraction form
    16,594.92/24,890.22 = 4,909.32/x
  3. Step 3: Cross multiply
    16,594.92x = 24,890.22 × 4,909.32
  4. Step 4: Simplify right side
    16,594.92x = 122,194,054.85
  5. Step 5: Solve for x
    x = 122,194,054.85/16,594.92
  6. Step 6: Final answer
    x = 7,363.34

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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.