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Finding the Fourth Proportional to 14,796.84, 22,199.80 and 5,180.68

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Solution

The fourth proportional to 14,796.84, 22,199.80 and 5,180.68 is: 7,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.84 : 22,199.80 = 5,180.68 : x
  2. Step 2: Convert to fraction form
    14,796.84/22,199.80 = 5,180.68/x
  3. Step 3: Cross multiply
    14,796.84x = 22,199.80 × 5,180.68
  4. Step 4: Simplify right side
    14,796.84x = 115,010,059.86
  5. Step 5: Solve for x
    x = 115,010,059.86/14,796.84
  6. Step 6: Final answer
    x = 7,772.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.