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Finding the Fourth Proportional to 14,920.84, 20,588.34 and 8,632

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Solution

The fourth proportional to 14,920.84, 20,588.34 and 8,632 is: 11,910.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,920.84 : 20,588.34 = 8,632 : x
  2. Step 2: Convert to fraction form
    14,920.84/20,588.34 = 8,632/x
  3. Step 3: Cross multiply
    14,920.84x = 20,588.34 × 8,632
  4. Step 4: Simplify right side
    14,920.84x = 177,718,550.88
  5. Step 5: Solve for x
    x = 177,718,550.88/14,920.84
  6. Step 6: Final answer
    x = 11,910.76

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