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Finding the Fourth Proportional to 14,641.92, 20,208 and 8,355.84

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Solution

The fourth proportional to 14,641.92, 20,208 and 8,355.84 is: 11,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.92 : 20,208 = 8,355.84 : x
  2. Step 2: Convert to fraction form
    14,641.92/20,208 = 8,355.84/x
  3. Step 3: Cross multiply
    14,641.92x = 20,208 × 8,355.84
  4. Step 4: Simplify right side
    14,641.92x = 168,854,814.72
  5. Step 5: Solve for x
    x = 168,854,814.72/14,641.92
  6. Step 6: Final answer
    x = 11,532.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.